0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : vampire --mode casc -t %d %s 0.12/0.33 % Computer : n013.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % DateTime : Thu Jul 2 06:59:48 EDT 2020 0.12/0.33 % CPUTime : 0.51/0.72 % dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=input_only:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off_8 on theBenchmark 0.51/0.92 % Refutation found. Thanks to Tanya! 0.51/0.92 % SZS status Theorem for theBenchmark 0.51/0.92 % SZS output start Proof for theBenchmark 0.51/0.92 fof(f10579,plain,( 0.51/0.92 $false), 0.51/0.92 inference(avatar_sat_refutation,[],[f6891,f6898,f6905,f6912,f6919,f6926,f6933,f6940,f6947,f6954,f6955,f6956,f6963,f6970,f6977,f6984,f6985,f6998,f6999,f7006,f7013,f7027,f7028,f7045,f7054,f7092,f7155,f7159,f7163,f7173,f7177,f7187,f7229,f7233,f7242,f7252,f7260,f7270,f7280,f7290,f7314,f7315,f7316,f7317,f7318,f7319,f7320,f7321,f7322,f7323,f7324,f7325,f7326,f7367,f7402,f7406,f7415,f7422,f7430,f7437,f7445,f7449,f7453,f7461,f7462,f7463,f7467,f7471,f7478,f7486,f7490,f7494,f7502,f7506,f7510,f7517,f7518,f7520,f7521,f7522,f7524,f7525,f7526,f7527,f7529,f7531,f7540,f7641,f7645,f7654,f7662,f7702,f7706,f7715,f7722,f7730,f7770,f7774,f7783,f7790,f7798,f7805,f7851,f7854,f7857,f7858,f7859,f7863,f7865,f7868,f7870,f7953,f7957,f7966,f7973,f7981,f7988,f7993,f8001,f8005,f8009,f8017,f8018,f8019,f8023,f8027,f8034,f8038,f8042,f8046,f8050,f8054,f8058,f8059,f8060,f8061,f8062,f8066,f8070,f8071,f8072,f8076,f8080,f8084,f8088,f8089,f8093,f8097,f8101,f8105,f8109,f8113,f8114,f8115,f8116,f8117,f8121,f8122,f8132,f8134,f8136,f8138,f8143,f8167,f8190,f8243,f8248,f8252,f8259,f8268,f8279,f8283,f8284,f8288,f8292,f8293,f8300,f8307,f8311,f8315,f8316,f8318,f8342,f8393,f8397,f8406,f8414,f8464,f8468,f8477,f8484,f8492,f8500,f8506,f8556,f8560,f8569,f8576,f8584,f8650,f8652,f8655,f8656,f8657,f8661,f8663,f8666,f8671,f8679,f8683,f8687,f8694,f8696,f8698,f8702,f8706,f8713,f8714,f8715,f8716,f8720,f8724,f8728,f8730,f8731,f8732,f8736,f8740,f8744,f8746,f8747,f8800,f8802,f8809,f8810,f8811,f8819,f8823,f8828,f8831,f8837,f8842,f8887,f8895,f8938,f8946,f9011,f9018,f9027,f9034,f9041,f9051,f9058,f9065,f9073,f9083,f9137,f9138,f9139,f9140,f9141,f9142,f9143,f9144,f9145,f9146,f9147,f9148,f9149,f9150,f9158,f9163,f9282,f9284,f9321,f9323,f9370,f9372,f9410,f9412,f9420,f9679,f9686,f9695,f9702,f9709,f9716,f9723,f9730,f9738,f9745,f9751,f9752,f9753,f9754,f9755,f9756,f9757,f9758,f9759,f9760,f9761,f9762,f9766,f9770,f9774,f9778,f9779,f9780,f9781,f9782,f9824,f9831,f9832,f9839,f9846,f9854,f9861,f9868,f9875,f9876,f9877,f9886,f9889,f9891,f9893,f9895,f9935,f9937,f9944,f9945,f9954,f9962,f9970,f9978,f9986,f9995,f10003,f10004,f10005,f10006,f10007,f10027,f10185,f10192,f10199,f10206,f10207,f10208,f10215,f10222,f10232,f10239,f10246,f10256,f10263,f10270,f10277,f10290,f10300,f10302,f10310,f10312,f10320,f10328,f10335,f10343,f10351,f10353,f10355,f10357,f10358,f10360,f10362,f10364,f10366,f10466,f10468,f10475,f10483,f10491,f10500,f10508,f10516,f10524,f10526,f10534,f10542,f10551,f10559,f10567,f10575,f10578])). 0.51/0.92 fof(f10578,plain,( 0.51/0.92 spl50_1), 0.51/0.92 inference(avatar_contradiction_clause,[],[f10576])). 0.51/0.92 fof(f10576,plain,( 0.51/0.92 $false | ~spl50_1), 0.51/0.92 inference(subsumption_resolution,[],[f6890,f6036])). 0.51/0.92 fof(f6036,plain,( 0.51/0.92 ( ! [X2,X0,X1] : (c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X0,c_Com_Ocom_OSKIP,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool))))) )), 0.51/0.92 inference(cnf_transformation,[],[f5253])). 0.51/0.92 fof(f5253,plain,( 0.51/0.92 ! [X0,X1,X2] : c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X0,c_Com_Ocom_OSKIP,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool))))), 0.51/0.92 inference(rectify,[],[f3853])). 0.51/0.92 fof(f3853,axiom,( 0.51/0.92 ! [X36,X37,X2] : c_Hoare__Mirabelle_Ohoare__derivs(X2,X37,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X36,c_Com_Ocom_OSKIP,X36)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool))))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_hoare__derivs_Oequations_I7_J)). 0.51/0.92 fof(f6890,plain,( 0.51/0.92 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) | ~spl50_1), 0.51/0.92 inference(avatar_component_clause,[],[f6889])). 0.51/0.92 fof(f6889,plain,( 0.51/0.92 spl50_1 <=> ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_1])])). 0.51/0.92 fof(f10575,plain,( 0.51/0.92 spl50_496 | spl50_47 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10568,f10298,f7153,f10573])). 0.51/0.92 fof(f10573,plain,( 0.51/0.92 spl50_496 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_496])])). 0.51/0.92 fof(f7153,plain,( 0.51/0.92 spl50_47 <=> ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_47])])). 0.51/0.92 fof(f10298,plain,( 0.51/0.92 spl50_456 <=> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_456])])). 0.51/0.92 fof(f10568,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_47 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10459,f7154])). 0.51/0.92 fof(f7154,plain,( 0.51/0.92 ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_47), 0.51/0.92 inference(avatar_component_clause,[],[f7153])). 0.51/0.92 fof(f10459,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_456), 0.51/0.92 inference(superposition,[],[f10391,f6708])). 0.51/0.92 fof(f6708,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 0.51/0.92 inference(cnf_transformation,[],[f5677])). 0.51/0.92 fof(f5677,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.92 inference(rectify,[],[f4559])). 0.51/0.92 fof(f4559,axiom,( 0.51/0.92 ! [X32] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X32) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__0)). 0.51/0.92 fof(f10391,plain,( 0.51/0.92 ( ! [X0] : (hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)) ) | ~spl50_456), 0.51/0.92 inference(resolution,[],[f10299,f6880])). 0.51/0.92 fof(f6880,plain,( 0.51/0.92 ( ! [X2,X0,X3] : (~hBOOL(hAPP(X3,X2)) | hBOOL(hAPP(X0,X2)) | sP49(X3,X0)) )), 0.51/0.92 inference(cnf_transformation,[],[f6880_D])). 0.51/0.92 fof(f6880_D,plain,( 0.51/0.92 ( ! [X0,X3] : (( ! [X2] : (~hBOOL(hAPP(X3,X2)) | hBOOL(hAPP(X0,X2))) ) <=> ~sP49(X3,X0)) )), 0.51/0.92 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP49])])). 0.51/0.92 fof(f10299,plain,( 0.51/0.92 hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_456), 0.51/0.92 inference(avatar_component_clause,[],[f10298])). 0.51/0.92 fof(f10567,plain,( 0.51/0.92 spl50_494 | spl50_47 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10560,f10298,f7153,f10565])). 0.51/0.92 fof(f10565,plain,( 0.51/0.92 spl50_494 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_494])])). 0.51/0.92 fof(f10560,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_47 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10458,f7154])). 0.51/0.92 fof(f10458,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~spl50_456), 0.51/0.92 inference(superposition,[],[f10391,f6745])). 0.51/0.92 fof(f6745,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5698])). 0.51/0.92 fof(f5698,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0) = X0), 0.51/0.92 inference(rectify,[],[f455])). 0.51/0.92 fof(f455,axiom,( 0.51/0.92 ! [X32] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X32) = X32), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__1)). 0.51/0.92 fof(f10559,plain,( 0.51/0.92 spl50_492 | spl50_47 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10552,f10298,f7153,f10557])). 0.51/0.92 fof(f10557,plain,( 0.51/0.92 spl50_492 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_492])])). 0.51/0.92 fof(f10552,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) | (~spl50_47 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10457,f7154])). 0.51/0.92 fof(f10457,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~spl50_456), 0.51/0.92 inference(superposition,[],[f10391,f6743])). 0.51/0.92 fof(f6743,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5696])). 0.51/0.92 fof(f5696,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0) = X0), 0.51/0.92 inference(rectify,[],[f399])). 0.51/0.92 fof(f399,axiom,( 0.51/0.92 ! [X38] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X38) = X38), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zmult__1)). 0.51/0.92 fof(f10551,plain,( 0.51/0.92 spl50_490 | ~spl50_24 | spl50_55 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10544,f10298,f7171,f6975,f10549])). 0.51/0.92 fof(f10549,plain,( 0.51/0.92 spl50_490 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_490])])). 0.51/0.92 fof(f6975,plain,( 0.51/0.92 spl50_24 <=> hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_24])])). 0.51/0.92 fof(f7171,plain,( 0.51/0.92 spl50_55 <=> ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_55])])). 0.51/0.92 fof(f10544,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_24 | ~spl50_55 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10543,f7172])). 0.51/0.92 fof(f7172,plain,( 0.51/0.92 ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~spl50_55), 0.51/0.92 inference(avatar_component_clause,[],[f7171])). 0.51/0.92 fof(f10543,plain,( 0.51/0.92 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_24 | ~spl50_456)), 0.51/0.92 inference(forward_demodulation,[],[f10456,f6976])). 0.51/0.92 fof(f6976,plain,( 0.51/0.92 hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) | ~spl50_24), 0.51/0.92 inference(avatar_component_clause,[],[f6975])). 0.51/0.92 fof(f10456,plain,( 0.51/0.92 hBOOL(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~spl50_456), 0.51/0.92 inference(superposition,[],[f10391,f6634])). 0.51/0.92 fof(f6634,plain,( 0.51/0.92 ( ! [X0] : (hAPP(c_Nat_OSuc,X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)) )), 0.51/0.92 inference(cnf_transformation,[],[f5626])). 0.51/0.92 fof(f5626,plain,( 0.51/0.92 ! [X0] : hAPP(c_Nat_OSuc,X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)), 0.51/0.92 inference(rectify,[],[f1633])). 0.51/0.92 fof(f1633,axiom,( 0.51/0.92 ! [X32] : hAPP(c_Nat_OSuc,X32) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X32)), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left)). 0.51/0.92 fof(f10542,plain,( 0.51/0.92 spl50_488 | spl50_47 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10535,f10298,f7153,f10540])). 0.51/0.92 fof(f10540,plain,( 0.51/0.92 spl50_488 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_488])])). 0.51/0.92 fof(f10535,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | (~spl50_47 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10455,f7154])). 0.51/0.92 fof(f10455,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~spl50_456), 0.51/0.92 inference(superposition,[],[f10391,f6532])). 0.51/0.92 fof(f6532,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5564])). 0.51/0.92 fof(f5564,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0) = X0), 0.51/0.92 inference(rectify,[],[f3209])). 0.51/0.92 fof(f3209,axiom,( 0.51/0.92 ! [X38] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X38) = X38), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__0)). 0.51/0.92 fof(f10534,plain,( 0.51/0.92 spl50_486 | spl50_47 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10527,f10298,f7153,f10532])). 0.51/0.92 fof(f10532,plain,( 0.51/0.92 spl50_486 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_486])])). 0.51/0.92 fof(f10527,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_47 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10454,f7154])). 0.51/0.92 fof(f10454,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_456), 0.51/0.92 inference(superposition,[],[f10391,f6530])). 0.51/0.92 fof(f6530,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5562])). 0.51/0.92 fof(f5562,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) = X0), 0.51/0.92 inference(rectify,[],[f2632])). 0.51/0.92 fof(f2632,axiom,( 0.51/0.92 ! [X32] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X32) = X32), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_plus__nat_Oadd__0)). 0.51/0.92 fof(f10526,plain,( 0.51/0.92 spl50_484 | spl50_47 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10525,f10298,f7153,f10522])). 0.51/0.92 fof(f10522,plain,( 0.51/0.92 spl50_484 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_484])])). 0.51/0.92 fof(f10525,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_47 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10453,f7154])). 0.51/0.92 fof(f10453,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_456), 0.51/0.92 inference(superposition,[],[f10391,f6449])). 0.51/0.92 fof(f6449,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 0.51/0.92 inference(cnf_transformation,[],[f5499])). 0.51/0.92 fof(f5499,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.92 inference(rectify,[],[f3912])). 0.51/0.92 fof(f3912,axiom,( 0.51/0.92 ! [X32] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X32) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__0__eq__0)). 0.51/0.92 fof(f10524,plain,( 0.51/0.92 spl50_484 | spl50_47 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10517,f10298,f7153,f10522])). 0.51/0.92 fof(f10517,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_47 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10452,f7154])). 0.51/0.92 fof(f10452,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_456), 0.51/0.92 inference(superposition,[],[f10391,f6450])). 0.51/0.92 fof(f6450,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X0),X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 0.51/0.92 inference(cnf_transformation,[],[f5500])). 0.51/0.92 fof(f5500,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X0),X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.92 inference(rectify,[],[f1700])). 0.51/0.92 fof(f1700,axiom,( 0.51/0.92 ! [X33] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X33),X33) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__self__eq__0)). 0.51/0.92 fof(f10516,plain,( 0.51/0.92 spl50_482 | spl50_47 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10509,f10298,f7153,f10514])). 0.51/0.92 fof(f10514,plain,( 0.51/0.92 spl50_482 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_482])])). 0.51/0.92 fof(f10509,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint)) | (~spl50_47 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10451,f7154])). 0.51/0.92 fof(f10451,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint)) | ~spl50_456), 0.51/0.92 inference(superposition,[],[f10391,f6755])). 0.51/0.92 fof(f6755,plain,( 0.51/0.92 ( ! [X0] : (hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5703])). 0.51/0.92 fof(f5703,plain,( 0.51/0.92 ! [X0] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0) = X0), 0.51/0.92 inference(rectify,[],[f4432])). 0.51/0.92 fof(f4432,axiom,( 0.51/0.92 ! [X47] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X47) = X47), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_number__of__is__id)). 0.51/0.92 fof(f10508,plain,( 0.51/0.92 spl50_480 | spl50_47 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10501,f10298,f7153,f10506])). 0.51/0.92 fof(f10506,plain,( 0.51/0.92 spl50_480 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_480])])). 0.51/0.92 fof(f10501,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Nat_Onat)) | (~spl50_47 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10450,f7154])). 0.51/0.92 fof(f10450,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Nat_Onat)) | ~spl50_456), 0.51/0.92 inference(superposition,[],[f10391,f6260])). 0.51/0.92 fof(f6260,plain,( 0.51/0.92 ( ! [X0] : (hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5396])). 0.51/0.92 fof(f5396,plain,( 0.51/0.92 ! [X0] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0) = X0), 0.51/0.92 inference(rectify,[],[f3942])). 0.51/0.92 fof(f3942,axiom,( 0.51/0.92 ! [X32] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X32) = X32), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__size)). 0.51/0.92 fof(f10500,plain,( 0.51/0.92 spl50_478 | ~spl50_42 | spl50_61 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10493,f10298,f7185,f7090,f10498])). 0.51/0.92 fof(f10498,plain,( 0.51/0.92 spl50_478 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_478])])). 0.51/0.92 fof(f7090,plain,( 0.51/0.92 spl50_42 <=> hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_42])])). 0.51/0.92 fof(f7185,plain,( 0.51/0.92 spl50_61 <=> ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_61])])). 0.51/0.92 fof(f10493,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | (~spl50_42 | ~spl50_61 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10449,f7186])). 0.51/0.92 fof(f7186,plain,( 0.51/0.92 ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~spl50_61), 0.51/0.92 inference(avatar_component_clause,[],[f7185])). 0.51/0.92 fof(f10449,plain,( 0.51/0.92 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | (~spl50_42 | ~spl50_456)), 0.51/0.92 inference(superposition,[],[f10391,f7091])). 0.51/0.92 fof(f7091,plain,( 0.51/0.92 hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_42), 0.51/0.92 inference(avatar_component_clause,[],[f7090])). 0.51/0.92 fof(f10491,plain,( 0.51/0.92 spl50_476 | ~spl50_24 | spl50_55 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10484,f10298,f7171,f6975,f10489])). 0.51/0.92 fof(f10489,plain,( 0.51/0.92 spl50_476 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc)), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_476])])). 0.51/0.92 fof(f10484,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc) | (~spl50_24 | ~spl50_55 | ~spl50_456)), 0.51/0.92 inference(subsumption_resolution,[],[f10445,f7172])). 0.51/0.92 fof(f10445,plain,( 0.51/0.92 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc) | (~spl50_24 | ~spl50_456)), 0.51/0.92 inference(superposition,[],[f10391,f6976])). 0.51/0.92 fof(f10483,plain,( 0.51/0.92 spl50_474 | spl50_453 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10443,f10298,f10285,f10481])). 0.51/0.92 fof(f10481,plain,( 0.51/0.92 spl50_474 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_474])])). 0.51/0.92 fof(f10285,plain,( 0.51/0.92 spl50_453 <=> ~hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_453])])). 0.51/0.92 fof(f10443,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) | (~spl50_453 | ~spl50_456)), 0.51/0.92 inference(resolution,[],[f10391,f10286])). 0.51/0.92 fof(f10286,plain,( 0.51/0.92 ~hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_453), 0.51/0.92 inference(avatar_component_clause,[],[f10285])). 0.51/0.92 fof(f10475,plain,( 0.51/0.92 spl50_472 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10429,f10298,f10473])). 0.51/0.92 fof(f10473,plain,( 0.51/0.92 spl50_472 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_472])])). 0.51/0.92 fof(f10429,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_456), 0.51/0.92 inference(resolution,[],[f10391,f6791])). 0.51/0.92 fof(f6791,plain,( 0.51/0.92 ( ! [X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X1))) )), 0.51/0.92 inference(equality_resolution,[],[f6224])). 0.51/0.92 fof(f6224,plain,( 0.51/0.92 ( ! [X0,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X0)) | X0 != X1) )), 0.51/0.92 inference(cnf_transformation,[],[f5372])). 0.51/0.92 fof(f5372,plain,( 0.51/0.92 ! [X0,X1] : ((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X1),X0)) & X0 != X1) <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X1),X0)))), 0.51/0.92 inference(rectify,[],[f1333])). 0.51/0.92 fof(f1333,axiom,( 0.51/0.92 ! [X13,X12] : ((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X12),X13)) & X12 != X13) <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),X12),X13)))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zless__le)). 0.51/0.92 fof(f10468,plain,( 0.51/0.92 spl50_470 | ~spl50_42 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10467,f10298,f7090,f10464])). 0.51/0.92 fof(f10464,plain,( 0.51/0.92 spl50_470 <=> sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_470])])). 0.51/0.92 fof(f10467,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_42 | ~spl50_456)), 0.51/0.92 inference(forward_demodulation,[],[f10428,f7091])). 0.51/0.92 fof(f10428,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_456), 0.51/0.92 inference(resolution,[],[f10391,f6251])). 0.51/0.92 fof(f6251,plain,( 0.51/0.92 ( ! [X0] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),X0))) )), 0.51/0.92 inference(cnf_transformation,[],[f5389])). 0.51/0.92 fof(f5389,plain,( 0.51/0.92 ! [X0] : ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),X0))), 0.51/0.92 inference(rectify,[],[f4712])). 0.51/0.92 fof(f4712,axiom,( 0.51/0.92 ! [X32] : ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X32),X32))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__irrefl__nat)). 0.51/0.92 fof(f10466,plain,( 0.51/0.92 spl50_470 | spl50_41 | ~spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10427,f10298,f7052,f10464])). 0.51/0.92 fof(f7052,plain,( 0.51/0.92 spl50_41 <=> ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_41])])). 0.51/0.92 fof(f10427,plain,( 0.51/0.92 sP49(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_41 | ~spl50_456)), 0.51/0.92 inference(resolution,[],[f10391,f7053])). 0.51/0.92 fof(f7053,plain,( 0.51/0.92 ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_41), 0.51/0.92 inference(avatar_component_clause,[],[f7052])). 0.51/0.92 fof(f10366,plain,( 0.51/0.92 ~spl50_463 | spl50_85), 0.51/0.92 inference(avatar_split_clause,[],[f10365,f7285,f10326])). 0.51/0.92 fof(f10326,plain,( 0.51/0.92 spl50_463 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Int_Oint))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_463])])). 0.51/0.92 fof(f7285,plain,( 0.51/0.92 spl50_85 <=> ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Int_Oint))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_85])])). 0.51/0.92 fof(f10365,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Int_Oint)) | ~spl50_85), 0.51/0.92 inference(subsumption_resolution,[],[f10178,f7286])). 0.51/0.92 fof(f7286,plain,( 0.51/0.92 ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~spl50_85), 0.51/0.92 inference(avatar_component_clause,[],[f7285])). 0.51/0.92 fof(f10178,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Int_Oint))), 0.51/0.92 inference(superposition,[],[f10060,f6529])). 0.51/0.92 fof(f6529,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5561])). 0.51/0.92 fof(f5561,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X0), 0.51/0.92 inference(rectify,[],[f986])). 0.51/0.92 fof(f986,axiom,( 0.51/0.92 ! [X38] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X38),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X38), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__0__right)). 0.51/0.92 fof(f10060,plain,( 0.51/0.92 ( ! [X10,X9] : (hBOOL(hAPP(hAPP(X9,X10),X10)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X9)) )), 0.51/0.92 inference(resolution,[],[f6873,f6171])). 0.51/0.92 fof(f6171,plain,( 0.51/0.92 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X0),X0))) )), 0.51/0.92 inference(cnf_transformation,[],[f5336])). 0.51/0.92 fof(f5336,plain,( 0.51/0.92 ! [X0] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X0),X0))), 0.51/0.92 inference(rectify,[],[f3471])). 0.51/0.92 fof(f3471,axiom,( 0.51/0.92 ! [X32] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X32),X32))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__refl)). 0.51/0.92 fof(f6873,plain,( 0.51/0.92 ( ! [X2,X0,X3,X1] : (~hBOOL(hAPP(hAPP(X3,X1),X0)) | hBOOL(hAPP(hAPP(X2,X1),X0)) | ~sP45(X3,X2)) )), 0.51/0.92 inference(general_splitting,[],[f6871,f6872_D])). 0.51/0.92 fof(f6872,plain,( 0.51/0.92 ( ! [X2,X5,X3] : (~sP44(X5,X3,X2) | sP45(X3,X2)) )), 0.51/0.92 inference(cnf_transformation,[],[f6872_D])). 0.51/0.92 fof(f6872_D,plain,( 0.51/0.92 ( ! [X2,X3] : (( ! [X5] : ~sP44(X5,X3,X2) ) <=> ~sP45(X3,X2)) )), 0.51/0.92 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP45])])). 0.51/0.92 fof(f6871,plain,( 0.51/0.92 ( ! [X2,X0,X5,X3,X1] : (~hBOOL(hAPP(hAPP(X3,X1),X0)) | hBOOL(hAPP(hAPP(X2,X1),X0)) | ~sP44(X5,X3,X2)) )), 0.51/0.92 inference(general_splitting,[],[f6153,f6870_D])). 0.51/0.92 fof(f6870,plain,( 0.51/0.92 ( ! [X4,X2,X5,X3] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X4,tc_HOL_Obool))),X3),X2)) | sP44(X5,X3,X2)) )), 0.51/0.92 inference(cnf_transformation,[],[f6870_D])). 0.51/0.92 fof(f6870_D,plain,( 0.51/0.92 ( ! [X2,X3,X5] : (( ! [X4] : ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X4,tc_HOL_Obool))),X3),X2)) ) <=> ~sP44(X5,X3,X2)) )), 0.51/0.92 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP44])])). 0.51/0.92 fof(f6153,plain,( 0.51/0.92 ( ! [X4,X2,X0,X5,X3,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X4,tc_HOL_Obool))),X3),X2)) | ~hBOOL(hAPP(hAPP(X3,X1),X0)) | hBOOL(hAPP(hAPP(X2,X1),X0))) )), 0.51/0.92 inference(cnf_transformation,[],[f5754])). 0.51/0.92 fof(f5754,plain,( 0.51/0.92 ! [X0,X1,X2,X3,X4,X5] : (hBOOL(hAPP(hAPP(X2,X1),X0)) | ~hBOOL(hAPP(hAPP(X3,X1),X0)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X4,tc_HOL_Obool))),X3),X2)))), 0.51/0.92 inference(flattening,[],[f5753])). 0.51/0.92 fof(f5753,plain,( 0.51/0.92 ! [X0,X1,X2,X3,X4,X5] : ((hBOOL(hAPP(hAPP(X2,X1),X0)) | ~hBOOL(hAPP(hAPP(X3,X1),X0))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X4,tc_HOL_Obool))),X3),X2)))), 0.51/0.92 inference(ennf_transformation,[],[f5321])). 0.51/0.92 fof(f5321,plain,( 0.51/0.92 ! [X0,X1,X2,X3,X4,X5] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_fun(X4,tc_HOL_Obool))),X3),X2)) => (hBOOL(hAPP(hAPP(X3,X1),X0)) => hBOOL(hAPP(hAPP(X2,X1),X0))))), 0.51/0.92 inference(rectify,[],[f921])). 0.51/0.92 fof(f921,axiom,( 0.51/0.92 ! [X22,X17,X131,X40,X29,X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_fun(X29,tc_HOL_Obool))),X40),X131)) => (hBOOL(hAPP(hAPP(X40,X17),X22)) => hBOOL(hAPP(hAPP(X131,X17),X22))))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_predicate2D)). 0.51/0.92 fof(f10364,plain,( 0.51/0.92 ~spl50_469 | spl50_47), 0.51/0.92 inference(avatar_split_clause,[],[f10363,f7153,f10349])). 0.51/0.92 fof(f10349,plain,( 0.51/0.92 spl50_469 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_469])])). 0.51/0.92 fof(f10363,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)) | ~spl50_47), 0.51/0.92 inference(subsumption_resolution,[],[f10177,f7154])). 0.51/0.92 fof(f10177,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6707])). 0.51/0.92 fof(f6707,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 0.51/0.92 inference(cnf_transformation,[],[f5676])). 0.51/0.92 fof(f5676,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.92 inference(rectify,[],[f3583])). 0.51/0.92 fof(f3583,axiom,( 0.51/0.92 ! [X33] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__0__right)). 0.51/0.92 fof(f10362,plain,( 0.51/0.92 ~spl50_461 | spl50_47), 0.51/0.92 inference(avatar_split_clause,[],[f10361,f7153,f10318])). 0.51/0.92 fof(f10318,plain,( 0.51/0.92 spl50_461 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_461])])). 0.51/0.92 fof(f10361,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)) | ~spl50_47), 0.51/0.92 inference(subsumption_resolution,[],[f10176,f7154])). 0.51/0.92 fof(f10176,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6531])). 0.51/0.92 fof(f6531,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5563])). 0.51/0.92 fof(f5563,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0), 0.51/0.92 inference(rectify,[],[f451])). 0.51/0.92 fof(f451,axiom,( 0.51/0.92 ! [X33] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X33), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right)). 0.51/0.92 fof(f10360,plain,( 0.51/0.92 ~spl50_459 | spl50_47), 0.51/0.92 inference(avatar_split_clause,[],[f10359,f7153,f10308])). 0.51/0.92 fof(f10308,plain,( 0.51/0.92 spl50_459 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_459])])). 0.51/0.92 fof(f10359,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)) | ~spl50_47), 0.51/0.92 inference(subsumption_resolution,[],[f10175,f7154])). 0.51/0.92 fof(f10175,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6451])). 0.51/0.92 fof(f6451,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5501])). 0.51/0.92 fof(f5501,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0), 0.51/0.92 inference(rectify,[],[f3183])). 0.51/0.92 fof(f3183,axiom,( 0.51/0.92 ! [X33] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X33),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X33), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__nat_Odiff__0)). 0.51/0.92 fof(f10358,plain,( 0.51/0.92 ~spl50_461 | spl50_464), 0.51/0.92 inference(avatar_split_clause,[],[f10174,f10333,f10318])). 0.51/0.92 fof(f10333,plain,( 0.51/0.92 spl50_464 <=> hBOOL(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_464])])). 0.51/0.92 fof(f10174,plain,( 0.51/0.92 hBOOL(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6633])). 0.51/0.92 fof(f6633,plain,( 0.51/0.92 ( ! [X0] : (hAPP(c_Nat_OSuc,X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.92 inference(cnf_transformation,[],[f5625])). 0.51/0.92 fof(f5625,plain,( 0.51/0.92 ! [X0] : hAPP(c_Nat_OSuc,X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))), 0.51/0.92 inference(rectify,[],[f5097])). 0.51/0.92 fof(f5097,axiom,( 0.51/0.92 ! [X32] : hAPP(c_Nat_OSuc,X32) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X32),c_Groups_Oone__class_Oone(tc_Nat_Onat))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1)). 0.51/0.92 fof(f10357,plain,( 0.51/0.92 ~spl50_467 | spl50_81), 0.51/0.92 inference(avatar_split_clause,[],[f10356,f7275,f10341])). 0.51/0.92 fof(f10341,plain,( 0.51/0.92 spl50_467 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_467])])). 0.51/0.92 fof(f7275,plain,( 0.51/0.92 spl50_81 <=> ~hBOOL(c_Groups_Oone__class_Oone(tc_Int_Oint))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_81])])). 0.51/0.92 fof(f10356,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)) | ~spl50_81), 0.51/0.92 inference(subsumption_resolution,[],[f10173,f7276])). 0.51/0.92 fof(f7276,plain,( 0.51/0.92 ~hBOOL(c_Groups_Oone__class_Oone(tc_Int_Oint)) | ~spl50_81), 0.51/0.92 inference(avatar_component_clause,[],[f7275])). 0.51/0.92 fof(f10173,plain,( 0.51/0.92 hBOOL(c_Groups_Oone__class_Oone(tc_Int_Oint)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint))), 0.51/0.92 inference(superposition,[],[f10060,f6744])). 0.51/0.92 fof(f6744,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Groups_Oone__class_Oone(tc_Int_Oint)) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5697])). 0.51/0.92 fof(f5697,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),c_Groups_Oone__class_Oone(tc_Int_Oint)) = X0), 0.51/0.92 inference(rectify,[],[f3929])). 0.51/0.92 fof(f3929,axiom,( 0.51/0.92 ! [X38] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X38),c_Groups_Oone__class_Oone(tc_Int_Oint)) = X38), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zmult__1__right)). 0.51/0.92 fof(f10355,plain,( 0.51/0.92 ~spl50_469 | spl50_55), 0.51/0.92 inference(avatar_split_clause,[],[f10354,f7171,f10349])). 0.51/0.92 fof(f10354,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)) | ~spl50_55), 0.51/0.92 inference(subsumption_resolution,[],[f10172,f7172])). 0.51/0.92 fof(f10172,plain,( 0.51/0.92 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6742])). 0.51/0.92 fof(f6742,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5695])). 0.51/0.92 fof(f5695,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X0), 0.51/0.92 inference(rectify,[],[f254])). 0.51/0.92 fof(f254,axiom,( 0.51/0.92 ! [X32] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X32),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X32), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__1__right)). 0.51/0.92 fof(f10353,plain,( 0.51/0.92 ~spl50_469 | spl50_47), 0.51/0.92 inference(avatar_split_clause,[],[f10352,f7153,f10349])). 0.51/0.92 fof(f10352,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)) | ~spl50_47), 0.51/0.92 inference(subsumption_resolution,[],[f10171,f7154])). 0.51/0.92 fof(f10171,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6708])). 0.51/0.92 fof(f10351,plain,( 0.51/0.92 ~spl50_469 | spl50_55), 0.51/0.92 inference(avatar_split_clause,[],[f10344,f7171,f10349])). 0.51/0.92 fof(f10344,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)) | ~spl50_55), 0.51/0.92 inference(subsumption_resolution,[],[f10170,f7172])). 0.51/0.92 fof(f10170,plain,( 0.51/0.92 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6745])). 0.51/0.92 fof(f10343,plain,( 0.51/0.92 ~spl50_467 | spl50_81), 0.51/0.92 inference(avatar_split_clause,[],[f10336,f7275,f10341])). 0.51/0.92 fof(f10336,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)) | ~spl50_81), 0.51/0.92 inference(subsumption_resolution,[],[f10169,f7276])). 0.51/0.92 fof(f10169,plain,( 0.51/0.92 hBOOL(c_Groups_Oone__class_Oone(tc_Int_Oint)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint))), 0.51/0.92 inference(superposition,[],[f10060,f6743])). 0.51/0.92 fof(f10335,plain,( 0.51/0.92 ~spl50_461 | spl50_464), 0.51/0.92 inference(avatar_split_clause,[],[f10168,f10333,f10318])). 0.51/0.92 fof(f10168,plain,( 0.51/0.92 hBOOL(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6634])). 0.51/0.92 fof(f10328,plain,( 0.51/0.92 ~spl50_463 | spl50_85), 0.51/0.92 inference(avatar_split_clause,[],[f10321,f7285,f10326])). 0.51/0.92 fof(f10321,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Int_Oint)) | ~spl50_85), 0.51/0.92 inference(subsumption_resolution,[],[f10167,f7286])). 0.51/0.92 fof(f10167,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Int_Oint))), 0.51/0.92 inference(superposition,[],[f10060,f6532])). 0.51/0.92 fof(f10320,plain,( 0.51/0.92 ~spl50_461 | spl50_47), 0.51/0.92 inference(avatar_split_clause,[],[f10313,f7153,f10318])). 0.51/0.92 fof(f10313,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)) | ~spl50_47), 0.51/0.92 inference(subsumption_resolution,[],[f10166,f7154])). 0.51/0.92 fof(f10166,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6530])). 0.51/0.92 fof(f10312,plain,( 0.51/0.92 ~spl50_459 | spl50_47), 0.51/0.92 inference(avatar_split_clause,[],[f10311,f7153,f10308])). 0.51/0.92 fof(f10311,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)) | ~spl50_47), 0.51/0.92 inference(subsumption_resolution,[],[f10165,f7154])). 0.51/0.92 fof(f10165,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6449])). 0.51/0.92 fof(f10310,plain,( 0.51/0.92 ~spl50_459 | spl50_47), 0.51/0.92 inference(avatar_split_clause,[],[f10303,f7153,f10308])). 0.51/0.92 fof(f10303,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)) | ~spl50_47), 0.51/0.92 inference(subsumption_resolution,[],[f10164,f7154])). 0.51/0.92 fof(f10164,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat))), 0.51/0.92 inference(superposition,[],[f10060,f6450])). 0.51/0.92 fof(f10302,plain,( 0.51/0.92 ~spl50_417 | spl50_41 | ~spl50_42), 0.51/0.92 inference(avatar_split_clause,[],[f10301,f7090,f7052,f10183])). 0.51/0.92 fof(f10183,plain,( 0.51/0.92 spl50_417 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_417])])). 0.51/0.92 fof(f10301,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | (~spl50_41 | ~spl50_42)), 0.51/0.92 inference(subsumption_resolution,[],[f10161,f7053])). 0.51/0.92 fof(f10161,plain,( 0.51/0.92 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~spl50_42), 0.51/0.92 inference(superposition,[],[f10060,f7091])). 0.51/0.92 fof(f10300,plain,( 0.51/0.92 spl50_454 | spl50_456), 0.51/0.92 inference(avatar_split_clause,[],[f10160,f10298,f10292])). 0.51/0.92 fof(f10292,plain,( 0.51/0.92 spl50_454 <=> ! [X17] : ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_454])])). 0.51/0.92 fof(f10160,plain,( 0.51/0.92 ( ! [X17] : (hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17))) )), 0.51/0.92 inference(superposition,[],[f10060,f6707])). 0.51/0.92 fof(f10290,plain,( 0.51/0.92 ~spl50_451 | spl50_452 | ~spl50_24), 0.51/0.92 inference(avatar_split_clause,[],[f10157,f6975,f10288,f10282])). 0.51/0.92 fof(f10282,plain,( 0.51/0.92 spl50_451 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Nat_OSuc)), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_451])])). 0.51/0.92 fof(f10288,plain,( 0.51/0.92 spl50_452 <=> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_452])])). 0.51/0.92 fof(f10157,plain,( 0.51/0.92 hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Nat_OSuc) | ~spl50_24), 0.51/0.92 inference(superposition,[],[f10060,f6976])). 0.51/0.92 fof(f10277,plain,( 0.51/0.92 ~spl50_449 | spl50_434), 0.51/0.92 inference(avatar_split_clause,[],[f10151,f10230,f10275])). 0.51/0.92 fof(f10275,plain,( 0.51/0.92 spl50_449 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_449])])). 0.51/0.92 fof(f10230,plain,( 0.51/0.92 spl50_434 <=> ! [X3] : hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_434])])). 0.51/0.92 fof(f10151,plain,( 0.51/0.92 ( ! [X9] : (hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X9)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )), 0.51/0.92 inference(superposition,[],[f10060,f6708])). 0.51/0.92 fof(f10270,plain,( 0.51/0.92 ~spl50_447 | spl50_420), 0.51/0.92 inference(avatar_split_clause,[],[f10150,f10194,f10268])). 0.51/0.92 fof(f10268,plain,( 0.51/0.92 spl50_447 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_447])])). 0.51/0.92 fof(f10194,plain,( 0.51/0.92 spl50_420 <=> ! [X11] : hBOOL(hAPP(X11,X11))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_420])])). 0.51/0.92 fof(f10150,plain,( 0.51/0.92 ( ! [X8] : (hBOOL(hAPP(X8,X8)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )), 0.51/0.92 inference(superposition,[],[f10060,f6745])). 0.51/0.92 fof(f10263,plain,( 0.51/0.92 ~spl50_445 | spl50_420), 0.51/0.92 inference(avatar_split_clause,[],[f10149,f10194,f10261])). 0.51/0.92 fof(f10261,plain,( 0.51/0.92 spl50_445 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_445])])). 0.51/0.92 fof(f10149,plain,( 0.51/0.92 ( ! [X7] : (hBOOL(hAPP(X7,X7)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )), 0.51/0.92 inference(superposition,[],[f10060,f6743])). 0.51/0.92 fof(f10256,plain,( 0.51/0.92 ~spl50_441 | spl50_442), 0.51/0.92 inference(avatar_split_clause,[],[f10148,f10254,f10251])). 0.51/0.92 fof(f10251,plain,( 0.51/0.92 spl50_441 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_441])])). 0.51/0.92 fof(f10254,plain,( 0.51/0.92 spl50_442 <=> ! [X6] : hBOOL(hAPP(hAPP(c_Nat_OSuc,X6),X6))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_442])])). 0.51/0.92 fof(f10148,plain,( 0.51/0.92 ( ! [X6] : (hBOOL(hAPP(hAPP(c_Nat_OSuc,X6),X6)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )), 0.51/0.92 inference(superposition,[],[f10060,f6634])). 0.51/0.92 fof(f10246,plain,( 0.51/0.92 ~spl50_439 | spl50_420), 0.51/0.92 inference(avatar_split_clause,[],[f10147,f10194,f10244])). 0.51/0.92 fof(f10244,plain,( 0.51/0.92 spl50_439 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_439])])). 0.51/0.92 fof(f10147,plain,( 0.51/0.92 ( ! [X5] : (hBOOL(hAPP(X5,X5)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )), 0.51/0.92 inference(superposition,[],[f10060,f6532])). 0.51/0.92 fof(f10239,plain,( 0.51/0.92 ~spl50_437 | spl50_420), 0.51/0.92 inference(avatar_split_clause,[],[f10146,f10194,f10237])). 0.51/0.92 fof(f10237,plain,( 0.51/0.92 spl50_437 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_437])])). 0.51/0.92 fof(f10146,plain,( 0.51/0.92 ( ! [X4] : (hBOOL(hAPP(X4,X4)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )), 0.51/0.92 inference(superposition,[],[f10060,f6530])). 0.51/0.92 fof(f10232,plain,( 0.51/0.92 ~spl50_433 | spl50_434), 0.51/0.92 inference(avatar_split_clause,[],[f10145,f10230,f10227])). 0.51/0.92 fof(f10227,plain,( 0.51/0.92 spl50_433 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_433])])). 0.51/0.92 fof(f10145,plain,( 0.51/0.92 ( ! [X3] : (hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )), 0.51/0.92 inference(superposition,[],[f10060,f6449])). 0.51/0.92 fof(f10222,plain,( 0.51/0.92 ~spl50_431 | spl50_420), 0.51/0.92 inference(avatar_split_clause,[],[f10143,f10194,f10220])). 0.51/0.92 fof(f10220,plain,( 0.51/0.92 spl50_431 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_431])])). 0.51/0.92 fof(f10143,plain,( 0.51/0.92 ( ! [X1] : (hBOOL(hAPP(X1,X1)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Int_Oint))) )), 0.51/0.92 inference(superposition,[],[f10060,f6755])). 0.51/0.92 fof(f10215,plain,( 0.51/0.92 ~spl50_429 | spl50_420), 0.51/0.92 inference(avatar_split_clause,[],[f10142,f10194,f10213])). 0.51/0.92 fof(f10213,plain,( 0.51/0.92 spl50_429 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_429])])). 0.51/0.92 fof(f10142,plain,( 0.51/0.92 ( ! [X0] : (hBOOL(hAPP(X0,X0)) | ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Nat_Onat))) )), 0.51/0.92 inference(superposition,[],[f10060,f6260])). 0.51/0.92 fof(f10208,plain,( 0.51/0.92 ~spl50_417), 0.51/0.92 inference(avatar_split_clause,[],[f10139,f10183])). 0.51/0.92 fof(f10139,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.92 inference(resolution,[],[f10060,f6248])). 0.51/0.92 fof(f6248,plain,( 0.51/0.92 ( ! [X0] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )), 0.51/0.92 inference(cnf_transformation,[],[f5386])). 0.51/0.92 fof(f5386,plain,( 0.51/0.92 ! [X0] : ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 inference(rectify,[],[f1714])). 0.51/0.92 fof(f1714,axiom,( 0.51/0.92 ! [X32] : ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X32),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__zeroE)). 0.51/0.92 fof(f10207,plain,( 0.51/0.92 spl50_422), 0.51/0.92 inference(avatar_split_clause,[],[f10137,f10197])). 0.51/0.92 fof(f10197,plain,( 0.51/0.92 spl50_422 <=> ! [X10] : ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_member(X10))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_422])])). 0.51/0.92 fof(f10137,plain,( 0.51/0.92 ( ! [X20] : (~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_member(X20))) )), 0.51/0.92 inference(resolution,[],[f10060,f6054])). 0.51/0.92 fof(f6054,plain,( 0.51/0.92 ( ! [X0,X1] : (~hBOOL(hAPP(hAPP(c_member(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) )), 0.51/0.92 inference(cnf_transformation,[],[f5267])). 0.51/0.92 fof(f5267,plain,( 0.51/0.92 ! [X0,X1] : ~hBOOL(hAPP(hAPP(c_member(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))), 0.51/0.92 inference(rectify,[],[f1649])). 0.51/0.92 fof(f1649,axiom,( 0.51/0.92 ! [X27,X2] : ~hBOOL(hAPP(hAPP(c_member(X2),X27),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_emptyE)). 0.51/0.92 fof(f10206,plain,( 0.51/0.92 spl50_424 | spl50_426), 0.51/0.92 inference(avatar_split_clause,[],[f10136,f10204,f10201])). 0.51/0.92 fof(f10201,plain,( 0.51/0.92 spl50_424 <=> ! [X19] : ~sP47(X19,X19)), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_424])])). 0.51/0.92 fof(f10204,plain,( 0.51/0.92 spl50_426 <=> ! [X18,X17] : ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_fun(X17,tc_fun(X18,tc_HOL_Obool))))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_426])])). 0.51/0.92 fof(f10136,plain,( 0.51/0.92 ( ! [X19,X17,X18] : (~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_fun(X17,tc_fun(X18,tc_HOL_Obool)))) | ~sP47(X19,X19)) )), 0.51/0.92 inference(resolution,[],[f10060,f6877])). 0.51/0.92 fof(f6877,plain,( 0.51/0.92 ( ! [X2,X0,X5,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_fun(X1,tc_HOL_Obool))),X5),X0)) | ~sP47(X5,X0)) )), 0.51/0.92 inference(general_splitting,[],[f6875,f6876_D])). 0.51/0.92 fof(f6876,plain,( 0.51/0.92 ( ! [X0,X5,X3] : (~sP46(X5,X3,X0) | sP47(X5,X0)) )), 0.51/0.92 inference(cnf_transformation,[],[f6876_D])). 0.51/0.92 fof(f6876_D,plain,( 0.51/0.92 ( ! [X0,X5] : (( ! [X3] : ~sP46(X5,X3,X0) ) <=> ~sP47(X5,X0)) )), 0.51/0.92 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP47])])). 0.51/0.92 fof(f6875,plain,( 0.51/0.92 ( ! [X2,X0,X5,X3,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_fun(X1,tc_HOL_Obool))),X5),X0)) | ~sP46(X5,X3,X0)) )), 0.51/0.92 inference(general_splitting,[],[f6154,f6874_D])). 0.51/0.92 fof(f6874,plain,( 0.51/0.92 ( ! [X4,X0,X5,X3] : (~hBOOL(hAPP(hAPP(X5,X4),X3)) | hBOOL(hAPP(hAPP(X0,X4),X3)) | sP46(X5,X3,X0)) )), 0.51/0.92 inference(cnf_transformation,[],[f6874_D])). 0.51/0.92 fof(f6874_D,plain,( 0.51/0.92 ( ! [X0,X3,X5] : (( ! [X4] : (~hBOOL(hAPP(hAPP(X5,X4),X3)) | hBOOL(hAPP(hAPP(X0,X4),X3))) ) <=> ~sP46(X5,X3,X0)) )), 0.51/0.92 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP46])])). 0.51/0.92 fof(f6154,plain,( 0.51/0.92 ( ! [X4,X2,X0,X5,X3,X1] : (~hBOOL(hAPP(hAPP(X5,X4),X3)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_fun(X1,tc_HOL_Obool))),X5),X0)) | hBOOL(hAPP(hAPP(X0,X4),X3))) )), 0.51/0.92 inference(cnf_transformation,[],[f5756])). 0.51/0.92 fof(f5756,plain,( 0.51/0.92 ! [X0,X1,X2,X3,X4,X5] : (hBOOL(hAPP(hAPP(X0,X4),X3)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_fun(X1,tc_HOL_Obool))),X5),X0)) | ~hBOOL(hAPP(hAPP(X5,X4),X3)))), 0.51/0.92 inference(flattening,[],[f5755])). 0.51/0.92 fof(f5755,plain,( 0.51/0.92 ! [X0,X1,X2,X3,X4,X5] : ((hBOOL(hAPP(hAPP(X0,X4),X3)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_fun(X1,tc_HOL_Obool))),X5),X0))) | ~hBOOL(hAPP(hAPP(X5,X4),X3)))), 0.51/0.92 inference(ennf_transformation,[],[f5322])). 0.51/0.92 fof(f5322,plain,( 0.51/0.92 ! [X0,X1,X2,X3,X4,X5] : (hBOOL(hAPP(hAPP(X5,X4),X3)) => (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_fun(X1,tc_HOL_Obool))),X5),X0)) => hBOOL(hAPP(hAPP(X0,X4),X3))))), 0.51/0.92 inference(rectify,[],[f5060])). 0.51/0.92 fof(f5060,axiom,( 0.51/0.92 ! [X131,X29,X2,X22,X17,X40] : (hBOOL(hAPP(hAPP(X40,X17),X22)) => (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_fun(X29,tc_HOL_Obool))),X40),X131)) => hBOOL(hAPP(hAPP(X131,X17),X22))))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rev__predicate2D)). 0.51/0.92 fof(f10199,plain,( 0.51/0.92 spl50_420 | spl50_422), 0.51/0.92 inference(avatar_split_clause,[],[f10133,f10197,f10194])). 0.51/0.92 fof(f10133,plain,( 0.51/0.92 ( ! [X10,X11] : (~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_member(X10)) | hBOOL(hAPP(X11,X11))) )), 0.51/0.92 inference(resolution,[],[f10060,f6208])). 0.51/0.92 fof(f6208,plain,( 0.51/0.92 ( ! [X2,X0,X1] : (~hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) | hBOOL(hAPP(X0,X1))) )), 0.51/0.92 inference(cnf_transformation,[],[f5362])). 0.51/0.92 fof(f5362,plain,( 0.51/0.92 ! [X0,X1,X2] : (hBOOL(hAPP(X0,X1)) <=> hBOOL(hAPP(hAPP(c_member(X2),X1),X0)))), 0.51/0.92 inference(rectify,[],[f1190])). 0.51/0.92 fof(f1190,axiom,( 0.51/0.92 ! [X18,X17,X2] : (hBOOL(hAPP(X18,X17)) <=> hBOOL(hAPP(hAPP(c_member(X2),X17),X18)))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def)). 0.51/0.92 fof(f10192,plain,( 0.51/0.92 ~spl50_419), 0.51/0.92 inference(avatar_split_clause,[],[f10126,f10190])). 0.51/0.92 fof(f10190,plain,( 0.51/0.92 spl50_419 <=> ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Int_Oint))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_419])])). 0.51/0.92 fof(f10126,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Int_Oint))), 0.51/0.92 inference(resolution,[],[f10060,f6791])). 0.51/0.92 fof(f10185,plain,( 0.51/0.92 ~spl50_417), 0.51/0.92 inference(avatar_split_clause,[],[f10125,f10183])). 0.51/0.92 fof(f10125,plain,( 0.51/0.92 ~sP45(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.92 inference(resolution,[],[f10060,f6251])). 0.51/0.92 fof(f10027,plain,( 0.51/0.92 spl50_414 | ~spl50_42), 0.51/0.92 inference(avatar_split_clause,[],[f10020,f7090,f10025])). 0.51/0.92 fof(f10025,plain,( 0.51/0.92 spl50_414 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_414])])). 0.51/0.92 fof(f10020,plain,( 0.51/0.92 sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~spl50_42), 0.51/0.92 inference(superposition,[],[f9632,f7091])). 0.51/0.92 fof(f9632,plain,( 0.51/0.92 ( ! [X6] : (sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X6))) )), 0.51/0.92 inference(resolution,[],[f7881,f6251])). 0.51/0.92 fof(f7881,plain,( 0.51/0.92 ( ! [X24,X25] : (hBOOL(hAPP(X24,X25)) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X24)) )), 0.51/0.92 inference(resolution,[],[f6880,f6255])). 0.51/0.92 fof(f6255,plain,( 0.51/0.92 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))) )), 0.51/0.92 inference(cnf_transformation,[],[f5391])). 0.51/0.92 fof(f5391,plain,( 0.51/0.92 ! [X0] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))), 0.51/0.92 inference(rectify,[],[f1169])). 0.51/0.92 fof(f1169,axiom,( 0.51/0.92 ! [X32] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X32))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le0)). 0.51/0.92 fof(f10007,plain,( 0.51/0.92 ~spl50_55 | spl50_218), 0.51/0.92 inference(avatar_split_clause,[],[f9272,f8107,f7171])). 0.51/0.92 fof(f8107,plain,( 0.51/0.92 spl50_218 <=> ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_218])])). 0.51/0.92 fof(f9272,plain,( 0.51/0.92 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.92 inference(superposition,[],[f7125,f6633])). 0.51/0.92 fof(f7125,plain,( 0.51/0.92 ( ! [X0,X1] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),X1) | hBOOL(hAPP(X1,X0)) | ~hBOOL(X0)) )), 0.51/0.92 inference(superposition,[],[f6878,f6260])). 0.51/0.92 fof(f6878,plain,( 0.51/0.92 ( ! [X2,X0,X1] : (~hBOOL(hAPP(X2,X0)) | hBOOL(hAPP(X1,X0)) | sP48(X2,X1)) )), 0.51/0.92 inference(cnf_transformation,[],[f6878_D])). 0.51/0.92 fof(f6878_D,plain,( 0.51/0.92 ( ! [X1,X2] : (( ! [X0] : (~hBOOL(hAPP(X2,X0)) | hBOOL(hAPP(X1,X0))) ) <=> ~sP48(X2,X1)) )), 0.51/0.92 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP48])])). 0.51/0.92 fof(f10006,plain,( 0.51/0.92 ~spl50_55 | spl50_212), 0.51/0.92 inference(avatar_split_clause,[],[f9311,f8095,f7171])). 0.51/0.92 fof(f8095,plain,( 0.51/0.92 spl50_212 <=> ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_212])])). 0.51/0.92 fof(f9311,plain,( 0.51/0.92 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.92 inference(superposition,[],[f7126,f6633])). 0.51/0.92 fof(f7126,plain,( 0.51/0.92 ( ! [X2,X3] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3) | hBOOL(hAPP(X3,X2)) | ~hBOOL(X2)) )), 0.51/0.92 inference(superposition,[],[f6878,f6755])). 0.51/0.92 fof(f10005,plain,( 0.51/0.92 ~spl50_55 | spl50_204), 0.51/0.92 inference(avatar_split_clause,[],[f9360,f8078,f7171])). 0.51/0.92 fof(f8078,plain,( 0.51/0.92 spl50_204 <=> ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_204])])). 0.51/0.92 fof(f9360,plain,( 0.51/0.92 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.92 inference(superposition,[],[f7891,f6633])). 0.51/0.92 fof(f7891,plain,( 0.51/0.92 ( ! [X0,X1] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),X1) | hBOOL(hAPP(X1,X0)) | ~hBOOL(X0)) )), 0.51/0.92 inference(superposition,[],[f6880,f6260])). 0.51/0.92 fof(f10004,plain,( 0.51/0.92 ~spl50_55 | spl50_310), 0.51/0.92 inference(avatar_split_clause,[],[f9400,f8738,f7171])). 0.51/0.92 fof(f8738,plain,( 0.51/0.92 spl50_310 <=> ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_310])])). 0.51/0.92 fof(f9400,plain,( 0.51/0.92 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.92 inference(superposition,[],[f7892,f6633])). 0.51/0.92 fof(f7892,plain,( 0.51/0.92 ( ! [X2,X3] : (sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X3) | hBOOL(hAPP(X3,X2)) | ~hBOOL(X2)) )), 0.51/0.92 inference(superposition,[],[f6880,f6755])). 0.51/0.92 fof(f10003,plain,( 0.51/0.92 spl50_412 | spl50_47 | ~spl50_52), 0.51/0.92 inference(avatar_split_clause,[],[f9996,f7165,f7153,f10001])). 0.51/0.92 fof(f10001,plain,( 0.51/0.92 spl50_412 <=> sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_412])])). 0.51/0.92 fof(f7165,plain,( 0.51/0.92 spl50_52 <=> ! [X30] : (hBOOL(hAPP(X30,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(c_Nat_OSuc,X30))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_52])])). 0.51/0.92 fof(f9996,plain,( 0.51/0.92 sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_47 | ~spl50_52)), 0.51/0.92 inference(subsumption_resolution,[],[f9927,f7154])). 0.51/0.92 fof(f9927,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~spl50_52), 0.51/0.92 inference(superposition,[],[f7166,f6745])). 0.51/0.92 fof(f7166,plain,( 0.51/0.92 ( ! [X30] : (hBOOL(hAPP(X30,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(c_Nat_OSuc,X30)) ) | ~spl50_52), 0.51/0.92 inference(avatar_component_clause,[],[f7165])). 0.51/0.92 fof(f9995,plain,( 0.51/0.92 spl50_410 | spl50_47 | ~spl50_52), 0.51/0.92 inference(avatar_split_clause,[],[f9988,f7165,f7153,f9993])). 0.51/0.92 fof(f9993,plain,( 0.51/0.92 spl50_410 <=> sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_410])])). 0.51/0.92 fof(f9988,plain,( 0.51/0.92 sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) | (~spl50_47 | ~spl50_52)), 0.51/0.92 inference(subsumption_resolution,[],[f9926,f7154])). 0.51/0.92 fof(f9926,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~spl50_52), 0.51/0.92 inference(superposition,[],[f7166,f6743])). 0.51/0.92 fof(f9986,plain,( 0.51/0.92 spl50_408 | spl50_47 | ~spl50_52), 0.51/0.92 inference(avatar_split_clause,[],[f9979,f7165,f7153,f9984])). 0.51/0.92 fof(f9984,plain,( 0.51/0.92 spl50_408 <=> sP48(c_Nat_OSuc,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_408])])). 0.51/0.92 fof(f9979,plain,( 0.51/0.92 sP48(c_Nat_OSuc,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | (~spl50_47 | ~spl50_52)), 0.51/0.92 inference(subsumption_resolution,[],[f9924,f7154])). 0.51/0.92 fof(f9924,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_OSuc,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~spl50_52), 0.51/0.92 inference(superposition,[],[f7166,f6532])). 0.51/0.92 fof(f9978,plain,( 0.51/0.92 spl50_406 | spl50_47 | ~spl50_52), 0.51/0.92 inference(avatar_split_clause,[],[f9971,f7165,f7153,f9976])). 0.51/0.92 fof(f9976,plain,( 0.51/0.92 spl50_406 <=> sP48(c_Nat_OSuc,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_406])])). 0.51/0.92 fof(f9971,plain,( 0.51/0.92 sP48(c_Nat_OSuc,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_47 | ~spl50_52)), 0.51/0.92 inference(subsumption_resolution,[],[f9923,f7154])). 0.51/0.92 fof(f9923,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_OSuc,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_52), 0.51/0.92 inference(superposition,[],[f7166,f6530])). 0.51/0.92 fof(f9970,plain,( 0.51/0.92 spl50_404 | spl50_47 | ~spl50_52), 0.51/0.92 inference(avatar_split_clause,[],[f9963,f7165,f7153,f9968])). 0.51/0.92 fof(f9968,plain,( 0.51/0.92 spl50_404 <=> sP48(c_Nat_OSuc,c_Int_Onumber__class_Onumber__of(tc_Int_Oint))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_404])])). 0.51/0.92 fof(f9963,plain,( 0.51/0.92 sP48(c_Nat_OSuc,c_Int_Onumber__class_Onumber__of(tc_Int_Oint)) | (~spl50_47 | ~spl50_52)), 0.51/0.92 inference(subsumption_resolution,[],[f9920,f7154])). 0.51/0.92 fof(f9920,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_OSuc,c_Int_Onumber__class_Onumber__of(tc_Int_Oint)) | ~spl50_52), 0.51/0.92 inference(superposition,[],[f7166,f6755])). 0.51/0.92 fof(f9962,plain,( 0.51/0.92 spl50_402 | spl50_47 | ~spl50_52), 0.51/0.92 inference(avatar_split_clause,[],[f9955,f7165,f7153,f9960])). 0.51/0.92 fof(f9960,plain,( 0.51/0.92 spl50_402 <=> sP48(c_Nat_OSuc,c_Nat_Osize__class_Osize(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_402])])). 0.51/0.92 fof(f9955,plain,( 0.51/0.92 sP48(c_Nat_OSuc,c_Nat_Osize__class_Osize(tc_Nat_Onat)) | (~spl50_47 | ~spl50_52)), 0.51/0.92 inference(subsumption_resolution,[],[f9919,f7154])). 0.51/0.92 fof(f9919,plain,( 0.51/0.92 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_OSuc,c_Nat_Osize__class_Osize(tc_Nat_Onat)) | ~spl50_52), 0.51/0.92 inference(superposition,[],[f7166,f6260])). 0.51/0.92 fof(f9954,plain,( 0.51/0.92 spl50_400 | ~spl50_42 | ~spl50_52 | spl50_61), 0.51/0.92 inference(avatar_split_clause,[],[f9947,f7185,f7165,f7090,f9952])). 0.51/0.92 fof(f9952,plain,( 0.51/0.92 spl50_400 <=> sP48(c_Nat_OSuc,c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_400])])). 0.51/0.92 fof(f9947,plain,( 0.51/0.92 sP48(c_Nat_OSuc,c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | (~spl50_42 | ~spl50_52 | ~spl50_61)), 0.51/0.92 inference(subsumption_resolution,[],[f9918,f7186])). 0.51/0.92 fof(f9918,plain,( 0.51/0.92 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | sP48(c_Nat_OSuc,c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | (~spl50_42 | ~spl50_52)), 0.51/0.92 inference(superposition,[],[f7166,f7091])). 0.51/0.92 fof(f9945,plain,( 0.51/0.92 spl50_130 | ~spl50_52), 0.51/0.92 inference(avatar_split_clause,[],[f9913,f7165,f7643])). 0.51/0.92 fof(f7643,plain,( 0.51/0.92 spl50_130 <=> ! [X21] : sP48(c_Nat_OSuc,c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_130])])). 0.51/0.92 fof(f9913,plain,( 0.51/0.92 ( ! [X21] : (sP48(c_Nat_OSuc,c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool)))) ) | ~spl50_52), 0.51/0.92 inference(resolution,[],[f7166,f7079])). 0.51/0.92 fof(f7079,plain,( 0.51/0.92 ( ! [X0,X1] : (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1))) )), 0.51/0.92 inference(resolution,[],[f6209,f6054])). 0.51/0.92 fof(f6209,plain,( 0.51/0.92 ( ! [X2,X0,X1] : (hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) | ~hBOOL(hAPP(X0,X1))) )), 0.51/0.92 inference(cnf_transformation,[],[f5362])). 0.51/0.92 fof(f9944,plain,( 0.51/0.92 spl50_398 | ~spl50_52), 0.51/0.92 inference(avatar_split_clause,[],[f9904,f7165,f9942])). 0.51/0.92 fof(f9942,plain,( 0.51/0.92 spl50_398 <=> sP48(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_398])])). 0.51/0.92 fof(f9904,plain,( 0.51/0.92 sP48(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_52), 0.51/0.92 inference(resolution,[],[f7166,f6791])). 0.51/0.92 fof(f9937,plain,( 0.51/0.92 spl50_396 | ~spl50_42 | ~spl50_52), 0.51/0.92 inference(avatar_split_clause,[],[f9936,f7165,f7090,f9933])). 0.51/0.92 fof(f9933,plain,( 0.51/0.92 spl50_396 <=> sP48(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_396])])). 0.51/0.92 fof(f9936,plain,( 0.51/0.92 sP48(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_42 | ~spl50_52)), 0.51/0.92 inference(forward_demodulation,[],[f9903,f7091])). 0.51/0.92 fof(f9903,plain,( 0.51/0.92 sP48(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_52), 0.51/0.92 inference(resolution,[],[f7166,f6251])). 0.51/0.92 fof(f9935,plain,( 0.51/0.92 spl50_396 | spl50_41 | ~spl50_52), 0.51/0.92 inference(avatar_split_clause,[],[f9902,f7165,f7052,f9933])). 0.51/0.92 fof(f9902,plain,( 0.51/0.92 sP48(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_41 | ~spl50_52)), 0.51/0.92 inference(resolution,[],[f7166,f7053])). 0.51/0.92 fof(f9895,plain,( 0.51/0.92 spl50_310 | ~spl50_54), 0.51/0.92 inference(avatar_split_clause,[],[f9894,f7168,f8738])). 0.51/0.92 fof(f7168,plain,( 0.51/0.92 spl50_54 <=> hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_54])])). 0.51/0.92 fof(f9894,plain,( 0.51/0.92 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13))) ) | ~spl50_54), 0.51/0.92 inference(subsumption_resolution,[],[f9400,f7169])). 0.51/0.92 fof(f7169,plain,( 0.51/0.92 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~spl50_54), 0.51/0.92 inference(avatar_component_clause,[],[f7168])). 0.51/0.92 fof(f9893,plain,( 0.51/0.92 spl50_204 | ~spl50_54), 0.51/0.92 inference(avatar_split_clause,[],[f9892,f7168,f8078])). 0.51/0.92 fof(f9892,plain,( 0.51/0.92 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13))) ) | ~spl50_54), 0.51/0.92 inference(subsumption_resolution,[],[f9360,f7169])). 0.51/0.92 fof(f9891,plain,( 0.51/0.92 spl50_212 | ~spl50_54), 0.51/0.92 inference(avatar_split_clause,[],[f9890,f7168,f8095])). 0.51/0.92 fof(f9890,plain,( 0.51/0.92 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13))) ) | ~spl50_54), 0.51/0.92 inference(subsumption_resolution,[],[f9311,f7169])). 0.51/0.92 fof(f9889,plain,( 0.51/0.92 spl50_218 | ~spl50_54), 0.51/0.92 inference(avatar_split_clause,[],[f9888,f7168,f8107])). 0.51/0.92 fof(f9888,plain,( 0.51/0.92 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13))) ) | ~spl50_54), 0.51/0.92 inference(subsumption_resolution,[],[f9272,f7169])). 0.51/0.92 fof(f9886,plain,( 0.51/0.92 spl50_394 | ~spl50_42 | spl50_61 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9879,f9049,f7185,f7090,f9884])). 0.51/0.92 fof(f9884,plain,( 0.51/0.92 spl50_394 <=> sP49(c_Nat_OSuc,c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_394])])). 0.51/0.92 fof(f9049,plain,( 0.51/0.92 spl50_338 <=> ! [X6] : hBOOL(hAPP(c_Nat_OSuc,X6))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_338])])). 0.51/0.92 fof(f9879,plain,( 0.51/0.92 sP49(c_Nat_OSuc,c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | (~spl50_42 | ~spl50_61 | ~spl50_338)), 0.51/0.92 inference(subsumption_resolution,[],[f9821,f7186])). 0.51/0.92 fof(f9821,plain,( 0.51/0.92 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | sP49(c_Nat_OSuc,c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | (~spl50_42 | ~spl50_338)), 0.51/0.92 inference(superposition,[],[f9747,f7091])). 0.51/0.92 fof(f9747,plain,( 0.51/0.92 ( ! [X0,X1] : (hBOOL(hAPP(X0,X1)) | sP49(c_Nat_OSuc,X0)) ) | ~spl50_338), 0.51/0.92 inference(resolution,[],[f9050,f6880])). 0.51/0.92 fof(f9050,plain,( 0.51/0.92 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6))) ) | ~spl50_338), 0.51/0.92 inference(avatar_component_clause,[],[f9049])). 0.51/0.92 fof(f9877,plain,( 0.51/0.92 spl50_376 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9816,f9049,f9772])). 0.51/0.92 fof(f9772,plain,( 0.51/0.92 spl50_376 <=> ! [X14] : (hBOOL(X14) | sP49(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_376])])). 0.51/0.92 fof(f9816,plain,( 0.51/0.92 ( ! [X14] : (hBOOL(X14) | sP49(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14)))) ) | ~spl50_338), 0.51/0.92 inference(superposition,[],[f9747,f6635])). 0.51/0.92 fof(f6635,plain,( 0.51/0.92 ( ! [X0] : (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X0) )), 0.51/0.92 inference(cnf_transformation,[],[f5627])). 0.51/0.92 fof(f5627,plain,( 0.51/0.92 ! [X0] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X0), 0.51/0.92 inference(rectify,[],[f3338])). 0.51/0.92 fof(f3338,axiom,( 0.51/0.92 ! [X32] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X32)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X32), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__Suc__1)). 0.51/0.92 fof(f9876,plain,( 0.51/0.92 spl50_378 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9813,f9049,f9776])). 0.51/0.92 fof(f9776,plain,( 0.51/0.92 spl50_378 <=> ! [X11] : (hBOOL(X11) | sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_378])])). 0.51/0.92 fof(f9813,plain,( 0.51/0.92 ( ! [X11] : (hBOOL(X11) | sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11))) ) | ~spl50_338), 0.51/0.92 inference(superposition,[],[f9747,f6742])). 0.51/0.92 fof(f9875,plain,( 0.51/0.92 spl50_392 | spl50_326 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9810,f9049,f9009,f9873])). 0.51/0.92 fof(f9873,plain,( 0.51/0.92 spl50_392 <=> sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_392])])). 0.51/0.92 fof(f9009,plain,( 0.51/0.92 spl50_326 <=> ! [X0] : hBOOL(X0)), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_326])])). 0.51/0.92 fof(f9810,plain,( 0.51/0.92 ( ! [X8] : (hBOOL(X8) | sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) | ~spl50_338), 0.51/0.92 inference(superposition,[],[f9747,f6745])). 0.51/0.92 fof(f9868,plain,( 0.51/0.92 spl50_390 | spl50_326 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9809,f9049,f9009,f9866])). 0.51/0.92 fof(f9866,plain,( 0.51/0.92 spl50_390 <=> sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_390])])). 0.51/0.92 fof(f9809,plain,( 0.51/0.92 ( ! [X7] : (hBOOL(X7) | sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) | ~spl50_338), 0.51/0.92 inference(superposition,[],[f9747,f6743])). 0.51/0.92 fof(f9861,plain,( 0.51/0.92 spl50_388 | spl50_326 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9807,f9049,f9009,f9859])). 0.51/0.92 fof(f9859,plain,( 0.51/0.92 spl50_388 <=> sP49(c_Nat_OSuc,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_388])])). 0.51/0.92 fof(f9807,plain,( 0.51/0.92 ( ! [X5] : (hBOOL(X5) | sP49(c_Nat_OSuc,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) ) | ~spl50_338), 0.51/0.92 inference(superposition,[],[f9747,f6532])). 0.51/0.92 fof(f9854,plain,( 0.51/0.92 spl50_386 | spl50_326 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9806,f9049,f9009,f9852])). 0.51/0.92 fof(f9852,plain,( 0.51/0.92 spl50_386 <=> sP49(c_Nat_OSuc,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_386])])). 0.51/0.92 fof(f9806,plain,( 0.51/0.92 ( ! [X4] : (hBOOL(X4) | sP49(c_Nat_OSuc,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) | ~spl50_338), 0.51/0.92 inference(superposition,[],[f9747,f6530])). 0.51/0.92 fof(f9846,plain,( 0.51/0.92 spl50_384 | spl50_326 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9803,f9049,f9009,f9844])). 0.51/0.92 fof(f9844,plain,( 0.51/0.92 spl50_384 <=> sP49(c_Nat_OSuc,c_Int_Onumber__class_Onumber__of(tc_Int_Oint))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_384])])). 0.51/0.92 fof(f9803,plain,( 0.51/0.92 ( ! [X1] : (hBOOL(X1) | sP49(c_Nat_OSuc,c_Int_Onumber__class_Onumber__of(tc_Int_Oint))) ) | ~spl50_338), 0.51/0.92 inference(superposition,[],[f9747,f6755])). 0.51/0.92 fof(f9839,plain,( 0.51/0.92 spl50_382 | spl50_326 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9802,f9049,f9009,f9837])). 0.51/0.92 fof(f9837,plain,( 0.51/0.92 spl50_382 <=> sP49(c_Nat_OSuc,c_Nat_Osize__class_Osize(tc_Nat_Onat))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_382])])). 0.51/0.92 fof(f9802,plain,( 0.51/0.92 ( ! [X0] : (hBOOL(X0) | sP49(c_Nat_OSuc,c_Nat_Osize__class_Osize(tc_Nat_Onat))) ) | ~spl50_338), 0.51/0.92 inference(superposition,[],[f9747,f6260])). 0.51/0.92 fof(f9832,plain,( 0.51/0.92 spl50_258 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9801,f9049,f8395])). 0.51/0.92 fof(f8395,plain,( 0.51/0.92 spl50_258 <=> ! [X34] : sP49(c_Nat_OSuc,c_Orderings_Obot__class_Obot(tc_fun(X34,tc_HOL_Obool)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_258])])). 0.51/0.92 fof(f9801,plain,( 0.51/0.92 ( ! [X38] : (sP49(c_Nat_OSuc,c_Orderings_Obot__class_Obot(tc_fun(X38,tc_HOL_Obool)))) ) | ~spl50_338), 0.51/0.92 inference(resolution,[],[f9747,f7079])). 0.51/0.92 fof(f9831,plain,( 0.51/0.92 spl50_380 | spl50_41 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9798,f9049,f7052,f9829])). 0.51/0.92 fof(f9829,plain,( 0.51/0.92 spl50_380 <=> sP49(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_380])])). 0.51/0.92 fof(f9798,plain,( 0.51/0.92 sP49(c_Nat_OSuc,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_41 | ~spl50_338)), 0.51/0.92 inference(resolution,[],[f9747,f7053])). 0.51/0.92 fof(f9824,plain,( 0.51/0.92 spl50_256 | ~spl50_338), 0.51/0.92 inference(avatar_split_clause,[],[f9793,f9049,f8391])). 0.51/0.92 fof(f8391,plain,( 0.51/0.92 spl50_256 <=> ! [X29,X28,X30] : sP49(c_Nat_OSuc,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X28,tc_fun(X29,tc_HOL_Obool))),X30))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_256])])). 0.51/0.92 fof(f9793,plain,( 0.51/0.92 ( ! [X26,X24,X25] : (sP49(c_Nat_OSuc,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X24,tc_fun(X25,tc_HOL_Obool))),X26))) ) | ~spl50_338), 0.51/0.92 inference(resolution,[],[f9747,f6040])). 0.51/0.92 fof(f6040,plain,( 0.51/0.92 ( ! [X2,X0,X3,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_fun(X2,tc_HOL_Obool))),X1),X0))) )), 0.51/0.92 inference(cnf_transformation,[],[f5257])). 0.51/0.92 fof(f5257,plain,( 0.51/0.92 ! [X0,X1,X2,X3] : ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_fun(X2,tc_HOL_Obool))),X1),X0))), 0.51/0.92 inference(rectify,[],[f4499])). 0.51/0.92 fof(f4499,axiom,( 0.51/0.92 ! [X22,X17,X29,X2] : ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_fun(X29,tc_HOL_Obool))),X17),X22))), 0.51/0.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_bot2E)). 0.51/0.92 fof(f9782,plain,( 0.51/0.92 ~spl50_55 | spl50_378 | ~spl50_72), 0.51/0.92 inference(avatar_split_clause,[],[f8876,f7250,f9776,f7171])). 0.51/0.92 fof(f7250,plain,( 0.51/0.92 spl50_72 <=> ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | ~hBOOL(X6))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_72])])). 0.51/0.92 fof(f8876,plain,( 0.51/0.92 ( ! [X11] : (hBOOL(X11) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11))) ) | ~spl50_72), 0.51/0.92 inference(superposition,[],[f8757,f6742])). 0.51/0.92 fof(f8757,plain,( 0.51/0.92 ( ! [X0,X1] : (hBOOL(hAPP(X1,X0)) | ~hBOOL(X0) | sP49(c_Nat_OSuc,X1)) ) | ~spl50_72), 0.51/0.92 inference(resolution,[],[f7251,f6880])). 0.51/0.92 fof(f7251,plain,( 0.51/0.92 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | ~hBOOL(X6)) ) | ~spl50_72), 0.51/0.92 inference(avatar_component_clause,[],[f7250])). 0.51/0.92 fof(f9781,plain,( 0.51/0.92 ~spl50_55 | spl50_376 | ~spl50_72), 0.51/0.92 inference(avatar_split_clause,[],[f8879,f7250,f9772,f7171])). 0.51/0.92 fof(f8879,plain,( 0.51/0.92 ( ! [X14] : (hBOOL(X14) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP49(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14)))) ) | ~spl50_72), 0.51/0.92 inference(superposition,[],[f8757,f6635])). 0.51/0.92 fof(f9780,plain,( 0.51/0.92 ~spl50_55 | spl50_374 | ~spl50_72), 0.51/0.92 inference(avatar_split_clause,[],[f8927,f7250,f9768,f7171])). 0.51/0.92 fof(f9768,plain,( 0.51/0.92 spl50_374 <=> ! [X11] : (hBOOL(X11) | sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_374])])). 0.51/0.92 fof(f8927,plain,( 0.51/0.92 ( ! [X11] : (hBOOL(X11) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11))) ) | ~spl50_72), 0.51/0.92 inference(superposition,[],[f8758,f6742])). 0.51/0.92 fof(f8758,plain,( 0.51/0.92 ( ! [X2,X3] : (hBOOL(hAPP(X3,X2)) | ~hBOOL(X2) | sP48(c_Nat_OSuc,X3)) ) | ~spl50_72), 0.51/0.92 inference(resolution,[],[f7251,f6878])). 0.51/0.92 fof(f9779,plain,( 0.51/0.92 ~spl50_55 | spl50_372 | ~spl50_72), 0.51/0.92 inference(avatar_split_clause,[],[f8930,f7250,f9764,f7171])). 0.51/0.92 fof(f9764,plain,( 0.51/0.92 spl50_372 <=> ! [X14] : (hBOOL(X14) | sP48(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))))), 0.51/0.92 introduced(avatar_definition,[new_symbols(naming,[spl50_372])])). 0.51/0.92 fof(f8930,plain,( 0.51/0.92 ( ! [X14] : (hBOOL(X14) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP48(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14)))) ) | ~spl50_72), 0.51/0.92 inference(superposition,[],[f8758,f6635])). 0.51/0.92 fof(f9778,plain,( 0.51/0.92 ~spl50_55 | spl50_378 | ~spl50_72), 0.51/0.92 inference(avatar_split_clause,[],[f9200,f7250,f9776,f7171])). 0.51/0.92 fof(f9200,plain,( 0.51/0.92 ( ! [X11] : (hBOOL(X11) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11))) ) | ~spl50_72), 0.51/0.92 inference(superposition,[],[f8757,f6742])). 0.51/0.92 fof(f9774,plain,( 0.51/0.92 ~spl50_55 | spl50_376 | ~spl50_72), 0.51/0.92 inference(avatar_split_clause,[],[f9203,f7250,f9772,f7171])). 0.51/0.92 fof(f9203,plain,( 0.51/0.92 ( ! [X14] : (hBOOL(X14) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP49(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14)))) ) | ~spl50_72), 0.51/0.92 inference(superposition,[],[f8757,f6635])). 0.51/0.92 fof(f9770,plain,( 0.51/0.92 ~spl50_55 | spl50_374 | ~spl50_72), 0.51/0.92 inference(avatar_split_clause,[],[f9234,f7250,f9768,f7171])). 0.51/0.92 fof(f9234,plain,( 0.51/0.92 ( ! [X11] : (hBOOL(X11) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11))) ) | ~spl50_72), 0.51/0.93 inference(superposition,[],[f8758,f6742])). 0.51/0.93 fof(f9766,plain,( 0.51/0.93 ~spl50_55 | spl50_372 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f9237,f7250,f9764,f7171])). 0.51/0.93 fof(f9237,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP48(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14)))) ) | ~spl50_72), 0.51/0.93 inference(superposition,[],[f8758,f6635])). 0.51/0.93 fof(f9762,plain,( 0.51/0.93 ~spl50_55 | spl50_220), 0.51/0.93 inference(avatar_split_clause,[],[f9270,f8111,f7171])). 0.51/0.93 fof(f8111,plain,( 0.51/0.93 spl50_220 <=> ! [X11] : (hBOOL(X11) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_220])])). 0.51/0.93 fof(f9270,plain,( 0.51/0.93 ( ! [X11] : (hBOOL(X11) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6742])). 0.51/0.93 fof(f9761,plain,( 0.51/0.93 ~spl50_55 | spl50_216), 0.51/0.93 inference(avatar_split_clause,[],[f9273,f8103,f7171])). 0.51/0.93 fof(f8103,plain,( 0.51/0.93 spl50_216 <=> ! [X14] : (hBOOL(X14) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_216])])). 0.51/0.93 fof(f9273,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6635])). 0.51/0.93 fof(f9760,plain,( 0.51/0.93 ~spl50_55 | spl50_214), 0.51/0.93 inference(avatar_split_clause,[],[f9309,f8099,f7171])). 0.51/0.93 fof(f8099,plain,( 0.51/0.93 spl50_214 <=> ! [X11] : (hBOOL(X11) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_214])])). 0.51/0.93 fof(f9309,plain,( 0.51/0.93 ( ! [X11] : (hBOOL(X11) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7126,f6742])). 0.51/0.93 fof(f9759,plain,( 0.51/0.93 ~spl50_55 | spl50_210), 0.51/0.93 inference(avatar_split_clause,[],[f9312,f8091,f7171])). 0.51/0.93 fof(f8091,plain,( 0.51/0.93 spl50_210 <=> ! [X14] : (hBOOL(X14) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_210])])). 0.51/0.93 fof(f9312,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7126,f6635])). 0.51/0.93 fof(f9758,plain,( 0.51/0.93 ~spl50_55 | spl50_206), 0.51/0.93 inference(avatar_split_clause,[],[f9358,f8082,f7171])). 0.51/0.93 fof(f8082,plain,( 0.51/0.93 spl50_206 <=> ! [X11] : (hBOOL(X11) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_206])])). 0.51/0.93 fof(f9358,plain,( 0.51/0.93 ( ! [X11] : (hBOOL(X11) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7891,f6742])). 0.51/0.93 fof(f9757,plain,( 0.51/0.93 ~spl50_55 | spl50_202), 0.51/0.93 inference(avatar_split_clause,[],[f9361,f8074,f7171])). 0.51/0.93 fof(f8074,plain,( 0.51/0.93 spl50_202 <=> ! [X14] : (hBOOL(X14) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_202])])). 0.51/0.93 fof(f9361,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7891,f6635])). 0.51/0.93 fof(f9756,plain,( 0.51/0.93 ~spl50_55 | spl50_312), 0.51/0.93 inference(avatar_split_clause,[],[f9398,f8742,f7171])). 0.51/0.93 fof(f8742,plain,( 0.51/0.93 spl50_312 <=> ! [X11] : (hBOOL(X11) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_312])])). 0.51/0.93 fof(f9398,plain,( 0.51/0.93 ( ! [X11] : (hBOOL(X11) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7892,f6742])). 0.51/0.93 fof(f9755,plain,( 0.51/0.93 ~spl50_55 | spl50_308), 0.51/0.93 inference(avatar_split_clause,[],[f9401,f8734,f7171])). 0.51/0.93 fof(f8734,plain,( 0.51/0.93 spl50_308 <=> ! [X14] : (hBOOL(X14) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_308])])). 0.51/0.93 fof(f9401,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7892,f6635])). 0.51/0.93 fof(f9754,plain,( 0.51/0.93 spl50_52 | ~spl50_55 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f9489,f6975,f7171,f7165])). 0.51/0.93 fof(f9489,plain,( 0.51/0.93 ( ! [X30] : (~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(X30,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(c_Nat_OSuc,X30)) ) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f6878,f6976])). 0.51/0.93 fof(f9753,plain,( 0.51/0.93 spl50_208 | ~spl50_55 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f9541,f6975,f7171,f8086])). 0.51/0.93 fof(f8086,plain,( 0.51/0.93 spl50_208 <=> ! [X30] : (hBOOL(hAPP(X30,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP49(c_Nat_OSuc,X30))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_208])])). 0.51/0.93 fof(f9541,plain,( 0.51/0.93 ( ! [X30] : (~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(X30,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP49(c_Nat_OSuc,X30)) ) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f6880,f6976])). 0.51/0.93 fof(f9752,plain,( 0.51/0.93 spl50_54 | ~spl50_24 | ~spl50_338), 0.51/0.93 inference(avatar_split_clause,[],[f9749,f9049,f6975,f7168])). 0.51/0.93 fof(f9749,plain,( 0.51/0.93 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | (~spl50_24 | ~spl50_338)), 0.51/0.93 inference(superposition,[],[f9050,f6976])). 0.51/0.93 fof(f9751,plain,( 0.51/0.93 ~spl50_24 | spl50_55 | ~spl50_338), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9750])). 0.51/0.93 fof(f9750,plain,( 0.51/0.93 $false | (~spl50_24 | ~spl50_55 | ~spl50_338)), 0.51/0.93 inference(subsumption_resolution,[],[f9749,f7172])). 0.51/0.93 fof(f9745,plain,( 0.51/0.93 spl50_370 | spl50_348), 0.51/0.93 inference(avatar_split_clause,[],[f9661,f9081,f9743])). 0.51/0.93 fof(f9743,plain,( 0.51/0.93 spl50_370 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_370])])). 0.51/0.93 fof(f9081,plain,( 0.51/0.93 spl50_348 <=> ! [X10] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_348])])). 0.51/0.93 fof(f9661,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7881,f6632])). 0.51/0.93 fof(f6632,plain,( 0.51/0.93 ( ! [X0] : (hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0))) )), 0.51/0.93 inference(cnf_transformation,[],[f2555])). 0.51/0.93 fof(f2555,axiom,( 0.51/0.93 ! [X0] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__eq__Suc__le__raw)). 0.51/0.93 fof(f9738,plain,( 0.51/0.93 spl50_368 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f9731,f7153,f9736])). 0.51/0.93 fof(f9736,plain,( 0.51/0.93 spl50_368 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_368])])). 0.51/0.93 fof(f9731,plain,( 0.51/0.93 sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f9660,f7154])). 0.51/0.93 fof(f9660,plain,( 0.51/0.93 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 inference(superposition,[],[f7881,f6708])). 0.51/0.93 fof(f9730,plain,( 0.51/0.93 spl50_366 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f9659,f9009,f9728])). 0.51/0.93 fof(f9728,plain,( 0.51/0.93 spl50_366 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_366])])). 0.51/0.93 fof(f9659,plain,( 0.51/0.93 ( ! [X8] : (hBOOL(X8) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )), 0.51/0.93 inference(superposition,[],[f7881,f6745])). 0.51/0.93 fof(f9723,plain,( 0.51/0.93 spl50_364 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f9658,f9009,f9721])). 0.51/0.93 fof(f9721,plain,( 0.51/0.93 spl50_364 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_364])])). 0.51/0.93 fof(f9658,plain,( 0.51/0.93 ( ! [X7] : (hBOOL(X7) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )), 0.51/0.93 inference(superposition,[],[f7881,f6743])). 0.51/0.93 fof(f9716,plain,( 0.51/0.93 spl50_362 | spl50_338), 0.51/0.93 inference(avatar_split_clause,[],[f9657,f9049,f9714])). 0.51/0.93 fof(f9714,plain,( 0.51/0.93 spl50_362 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_362])])). 0.51/0.93 fof(f9657,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )), 0.51/0.93 inference(superposition,[],[f7881,f6634])). 0.51/0.93 fof(f9709,plain,( 0.51/0.93 spl50_360 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f9656,f9009,f9707])). 0.51/0.93 fof(f9707,plain,( 0.51/0.93 spl50_360 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_360])])). 0.51/0.93 fof(f9656,plain,( 0.51/0.93 ( ! [X5] : (hBOOL(X5) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )), 0.51/0.93 inference(superposition,[],[f7881,f6532])). 0.51/0.93 fof(f9702,plain,( 0.51/0.93 spl50_358 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f9655,f9009,f9700])). 0.51/0.93 fof(f9700,plain,( 0.51/0.93 spl50_358 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_358])])). 0.51/0.93 fof(f9655,plain,( 0.51/0.93 ( ! [X4] : (hBOOL(X4) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )), 0.51/0.93 inference(superposition,[],[f7881,f6530])). 0.51/0.93 fof(f9695,plain,( 0.51/0.93 spl50_356 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f9688,f7153,f9693])). 0.51/0.93 fof(f9693,plain,( 0.51/0.93 spl50_356 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_356])])). 0.51/0.93 fof(f9688,plain,( 0.51/0.93 sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f9654,f7154])). 0.51/0.93 fof(f9654,plain,( 0.51/0.93 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 inference(superposition,[],[f7881,f6449])). 0.51/0.93 fof(f9686,plain,( 0.51/0.93 spl50_354 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f9652,f9009,f9684])). 0.51/0.93 fof(f9684,plain,( 0.51/0.93 spl50_354 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_354])])). 0.51/0.93 fof(f9652,plain,( 0.51/0.93 ( ! [X1] : (hBOOL(X1) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint))) )), 0.51/0.93 inference(superposition,[],[f7881,f6755])). 0.51/0.93 fof(f9679,plain,( 0.51/0.93 spl50_352 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f9651,f9009,f9677])). 0.51/0.93 fof(f9677,plain,( 0.51/0.93 spl50_352 <=> sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_352])])). 0.51/0.93 fof(f9651,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(X0) | sP49(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7881,f6260])). 0.51/0.93 fof(f9420,plain,( 0.51/0.93 spl50_350 | ~spl50_42), 0.51/0.93 inference(avatar_split_clause,[],[f9413,f7090,f9418])). 0.51/0.93 fof(f9418,plain,( 0.51/0.93 spl50_350 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_350])])). 0.51/0.93 fof(f9413,plain,( 0.51/0.93 sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f8968,f7091])). 0.51/0.93 fof(f8968,plain,( 0.51/0.93 ( ! [X24] : (sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X24))) )), 0.51/0.93 inference(resolution,[],[f7113,f6251])). 0.51/0.93 fof(f7113,plain,( 0.51/0.93 ( ! [X6,X7] : (hBOOL(hAPP(X6,X7)) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X6)) )), 0.51/0.93 inference(resolution,[],[f6878,f6255])). 0.51/0.93 fof(f9412,plain,( 0.51/0.93 spl50_240 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f9411,f7153,f8281])). 0.51/0.93 fof(f8281,plain,( 0.51/0.93 spl50_240 <=> ! [X20,X22,X19,X21] : (sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_240])])). 0.51/0.93 fof(f9411,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) ) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f9408,f7154])). 0.51/0.93 fof(f9408,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) )), 0.51/0.93 inference(superposition,[],[f7892,f6061])). 0.51/0.93 fof(f6061,plain,( 0.51/0.93 ( ! [X2,X0,X3,X1] : (hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,X2,X1,X0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 0.51/0.93 inference(cnf_transformation,[],[f5270])). 0.51/0.93 fof(f5270,plain,( 0.51/0.93 ! [X0,X1,X2,X3] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X3)),c_Hoare__Mirabelle_Otriple_Otriple(X3,X2,X1,X0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 inference(rectify,[],[f707])). 0.51/0.93 fof(f707,axiom,( 0.51/0.93 ! [X178,X117,X179,X2] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X179,X117,X178)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_triple_Osize_I2_J)). 0.51/0.93 fof(f9410,plain,( 0.51/0.93 spl50_62 | spl50_230), 0.51/0.93 inference(avatar_split_clause,[],[f9381,f8246,f7224])). 0.51/0.93 fof(f7224,plain,( 0.51/0.93 spl50_62 <=> ! [X16] : ~hBOOL(X16)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_62])])). 0.51/0.93 fof(f8246,plain,( 0.51/0.93 spl50_230 <=> ! [X25,X24,X26] : sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X24,tc_fun(X25,tc_HOL_Obool))),X26))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_230])])). 0.51/0.93 fof(f9381,plain,( 0.51/0.93 ( ! [X12,X10,X11,X9] : (sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X9,tc_fun(X10,tc_HOL_Obool))),X11)) | ~hBOOL(X12)) )), 0.51/0.93 inference(resolution,[],[f7892,f6040])). 0.51/0.93 fof(f9372,plain,( 0.51/0.93 spl50_170 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f9371,f7153,f7991])). 0.51/0.93 fof(f7991,plain,( 0.51/0.93 spl50_170 <=> ! [X20,X22,X19,X21] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_170])])). 0.51/0.93 fof(f9371,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) ) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f9368,f7154])). 0.51/0.93 fof(f9368,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) )), 0.51/0.93 inference(superposition,[],[f7891,f6061])). 0.51/0.93 fof(f9370,plain,( 0.51/0.93 spl50_62 | spl50_158), 0.51/0.93 inference(avatar_split_clause,[],[f9341,f7951,f7224])). 0.51/0.93 fof(f7951,plain,( 0.51/0.93 spl50_158 <=> ! [X18,X20,X19] : sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X18,tc_fun(X19,tc_HOL_Obool))),X20))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_158])])). 0.51/0.93 fof(f9341,plain,( 0.51/0.93 ( ! [X12,X10,X11,X9] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X9,tc_fun(X10,tc_HOL_Obool))),X11)) | ~hBOOL(X12)) )), 0.51/0.93 inference(resolution,[],[f7891,f6040])). 0.51/0.93 fof(f9323,plain,( 0.51/0.93 spl50_200 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f9322,f7153,f8068])). 0.51/0.93 fof(f8068,plain,( 0.51/0.93 spl50_200 <=> ! [X1,X3,X0,X2] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X0))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X0,X1,X2,X3)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_200])])). 0.51/0.93 fof(f9322,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) ) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f9319,f7154])). 0.51/0.93 fof(f9319,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) )), 0.51/0.93 inference(superposition,[],[f7126,f6061])). 0.51/0.93 fof(f9321,plain,( 0.51/0.93 spl50_62 | spl50_88), 0.51/0.93 inference(avatar_split_clause,[],[f9292,f7400,f7224])). 0.51/0.93 fof(f7400,plain,( 0.51/0.93 spl50_88 <=> ! [X9,X7,X8] : sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X7,tc_fun(X8,tc_HOL_Obool))),X9))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_88])])). 0.51/0.93 fof(f9292,plain,( 0.51/0.93 ( ! [X6,X8,X7,X9] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_fun(X7,tc_HOL_Obool))),X8)) | ~hBOOL(X9)) )), 0.51/0.93 inference(resolution,[],[f7126,f6040])). 0.51/0.93 fof(f9284,plain,( 0.51/0.93 spl50_198 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f9283,f7153,f8064])). 0.51/0.93 fof(f8064,plain,( 0.51/0.93 spl50_198 <=> ! [X5,X7,X4,X6] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X4))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X4,X5,X6,X7)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_198])])). 0.51/0.93 fof(f9283,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) ) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f9280,f7154])). 0.51/0.93 fof(f9280,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) )), 0.51/0.93 inference(superposition,[],[f7125,f6061])). 0.51/0.93 fof(f9282,plain,( 0.51/0.93 spl50_62 | spl50_64), 0.51/0.93 inference(avatar_split_clause,[],[f9253,f7227,f7224])). 0.51/0.93 fof(f7227,plain,( 0.51/0.93 spl50_64 <=> ! [X13,X15,X14] : sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X13,tc_fun(X14,tc_HOL_Obool))),X15))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_64])])). 0.51/0.93 fof(f9253,plain,( 0.51/0.93 ( ! [X6,X8,X7,X9] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_fun(X7,tc_HOL_Obool))),X8)) | ~hBOOL(X9)) )), 0.51/0.93 inference(resolution,[],[f7125,f6040])). 0.51/0.93 fof(f9163,plain,( 0.51/0.93 ~spl50_41 | ~spl50_42), 0.51/0.93 inference(avatar_split_clause,[],[f9162,f7090,f7052])). 0.51/0.93 fof(f9162,plain,( 0.51/0.93 ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f6248,f7091])). 0.51/0.93 fof(f9158,plain,( 0.51/0.93 ~spl50_41 | ~spl50_42), 0.51/0.93 inference(avatar_split_clause,[],[f9157,f7090,f7052])). 0.51/0.93 fof(f9157,plain,( 0.51/0.93 ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f6251,f7091])). 0.51/0.93 fof(f9150,plain,( 0.51/0.93 spl50_47 | ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9136])). 0.51/0.93 fof(f9136,plain,( 0.51/0.93 $false | (~spl50_47 | ~spl50_326)), 0.51/0.93 inference(subsumption_resolution,[],[f7154,f9010])). 0.51/0.93 fof(f9010,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(X0)) ) | ~spl50_326), 0.51/0.93 inference(avatar_component_clause,[],[f9009])). 0.51/0.93 fof(f9149,plain,( 0.51/0.93 spl50_85 | ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9135])). 0.51/0.93 fof(f9135,plain,( 0.51/0.93 $false | (~spl50_85 | ~spl50_326)), 0.51/0.93 inference(subsumption_resolution,[],[f7286,f9010])). 0.51/0.93 fof(f9148,plain,( 0.51/0.93 spl50_55 | ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9134])). 0.51/0.93 fof(f9134,plain,( 0.51/0.93 $false | (~spl50_55 | ~spl50_326)), 0.51/0.93 inference(subsumption_resolution,[],[f7172,f9010])). 0.51/0.93 fof(f9147,plain,( 0.51/0.93 spl50_81 | ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9133])). 0.51/0.93 fof(f9133,plain,( 0.51/0.93 $false | (~spl50_81 | ~spl50_326)), 0.51/0.93 inference(subsumption_resolution,[],[f7276,f9010])). 0.51/0.93 fof(f9146,plain,( 0.51/0.93 ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9132])). 0.51/0.93 fof(f9132,plain,( 0.51/0.93 $false | ~spl50_326), 0.51/0.93 inference(subsumption_resolution,[],[f7079,f9010])). 0.51/0.93 fof(f9145,plain,( 0.51/0.93 spl50_61 | ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9130])). 0.51/0.93 fof(f9130,plain,( 0.51/0.93 $false | (~spl50_61 | ~spl50_326)), 0.51/0.93 inference(subsumption_resolution,[],[f7186,f9010])). 0.51/0.93 fof(f9144,plain,( 0.51/0.93 ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9128])). 0.51/0.93 fof(f9128,plain,( 0.51/0.93 $false | ~spl50_326), 0.51/0.93 inference(subsumption_resolution,[],[f6040,f9010])). 0.51/0.93 fof(f9143,plain,( 0.51/0.93 ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9127])). 0.51/0.93 fof(f9127,plain,( 0.51/0.93 $false | ~spl50_326), 0.51/0.93 inference(subsumption_resolution,[],[f6053,f9010])). 0.51/0.93 fof(f6053,plain,( 0.51/0.93 ( ! [X0,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))) )), 0.51/0.93 inference(cnf_transformation,[],[f5266])). 0.51/0.93 fof(f5266,plain,( 0.51/0.93 ! [X0,X1] : ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X1,tc_HOL_Obool)),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))), 0.51/0.93 inference(rectify,[],[f241])). 0.51/0.93 fof(f241,axiom,( 0.51/0.93 ! [X18,X2] : ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X2,tc_HOL_Obool)),X18),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__psubset__empty)). 0.51/0.93 fof(f9142,plain,( 0.51/0.93 ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9126])). 0.51/0.93 fof(f9126,plain,( 0.51/0.93 $false | ~spl50_326), 0.51/0.93 inference(subsumption_resolution,[],[f6790,f9010])). 0.51/0.93 fof(f6790,plain,( 0.51/0.93 ( ! [X2,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X2,tc_HOL_Obool)),X1),X1))) )), 0.51/0.93 inference(equality_resolution,[],[f6219])). 0.51/0.93 fof(f6219,plain,( 0.51/0.93 ( ! [X2,X0,X1] : (X0 != X1 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X2,tc_HOL_Obool)),X1),X0))) )), 0.51/0.93 inference(cnf_transformation,[],[f5369])). 0.51/0.93 fof(f5369,plain,( 0.51/0.93 ! [X0,X1,X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X2,tc_HOL_Obool)),X1),X0)) <=> (X0 != X1 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),X0))))), 0.51/0.93 inference(rectify,[],[f2617])). 0.51/0.93 fof(f2617,axiom,( 0.51/0.93 ! [X28,X18,X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X2,tc_HOL_Obool)),X18),X28)) <=> (X18 != X28 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X18),X28))))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_psubset__eq)). 0.51/0.93 fof(f9141,plain,( 0.51/0.93 ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9125])). 0.51/0.93 fof(f9125,plain,( 0.51/0.93 $false | ~spl50_326), 0.51/0.93 inference(subsumption_resolution,[],[f6248,f9010])). 0.51/0.93 fof(f9140,plain,( 0.51/0.93 ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9124])). 0.51/0.93 fof(f9124,plain,( 0.51/0.93 $false | ~spl50_326), 0.51/0.93 inference(subsumption_resolution,[],[f6791,f9010])). 0.51/0.93 fof(f9139,plain,( 0.51/0.93 ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9123])). 0.51/0.93 fof(f9123,plain,( 0.51/0.93 $false | ~spl50_326), 0.51/0.93 inference(subsumption_resolution,[],[f6251,f9010])). 0.51/0.93 fof(f9138,plain,( 0.51/0.93 ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9121])). 0.51/0.93 fof(f9121,plain,( 0.51/0.93 $false | ~spl50_326), 0.51/0.93 inference(subsumption_resolution,[],[f6054,f9010])). 0.51/0.93 fof(f9137,plain,( 0.51/0.93 spl50_41 | ~spl50_326), 0.51/0.93 inference(avatar_contradiction_clause,[],[f9116])). 0.51/0.93 fof(f9116,plain,( 0.51/0.93 $false | (~spl50_41 | ~spl50_326)), 0.51/0.93 inference(subsumption_resolution,[],[f7053,f9010])). 0.51/0.93 fof(f9083,plain,( 0.51/0.93 spl50_346 | spl50_348), 0.51/0.93 inference(avatar_split_clause,[],[f8990,f9081,f9078])). 0.51/0.93 fof(f9078,plain,( 0.51/0.93 spl50_346 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_346])])). 0.51/0.93 fof(f8990,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7113,f6632])). 0.51/0.93 fof(f9073,plain,( 0.51/0.93 spl50_344 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f9066,f7153,f9071])). 0.51/0.93 fof(f9071,plain,( 0.51/0.93 spl50_344 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_344])])). 0.51/0.93 fof(f9066,plain,( 0.51/0.93 sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f8989,f7154])). 0.51/0.93 fof(f8989,plain,( 0.51/0.93 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 inference(superposition,[],[f7113,f6708])). 0.51/0.93 fof(f9065,plain,( 0.51/0.93 spl50_342 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f8988,f9009,f9063])). 0.51/0.93 fof(f9063,plain,( 0.51/0.93 spl50_342 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_342])])). 0.51/0.93 fof(f8988,plain,( 0.51/0.93 ( ! [X8] : (hBOOL(X8) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )), 0.51/0.93 inference(superposition,[],[f7113,f6745])). 0.51/0.93 fof(f9058,plain,( 0.51/0.93 spl50_340 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f8987,f9009,f9056])). 0.51/0.93 fof(f9056,plain,( 0.51/0.93 spl50_340 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_340])])). 0.51/0.93 fof(f8987,plain,( 0.51/0.93 ( ! [X7] : (hBOOL(X7) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )), 0.51/0.93 inference(superposition,[],[f7113,f6743])). 0.51/0.93 fof(f9051,plain,( 0.51/0.93 spl50_336 | spl50_338), 0.51/0.93 inference(avatar_split_clause,[],[f8986,f9049,f9046])). 0.51/0.93 fof(f9046,plain,( 0.51/0.93 spl50_336 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_336])])). 0.51/0.93 fof(f8986,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )), 0.51/0.93 inference(superposition,[],[f7113,f6634])). 0.51/0.93 fof(f9041,plain,( 0.51/0.93 spl50_334 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f8985,f9009,f9039])). 0.51/0.93 fof(f9039,plain,( 0.51/0.93 spl50_334 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_334])])). 0.51/0.93 fof(f8985,plain,( 0.51/0.93 ( ! [X5] : (hBOOL(X5) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )), 0.51/0.93 inference(superposition,[],[f7113,f6532])). 0.51/0.93 fof(f9034,plain,( 0.51/0.93 spl50_332 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f8984,f9009,f9032])). 0.51/0.93 fof(f9032,plain,( 0.51/0.93 spl50_332 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_332])])). 0.51/0.93 fof(f8984,plain,( 0.51/0.93 ( ! [X4] : (hBOOL(X4) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )), 0.51/0.93 inference(superposition,[],[f7113,f6530])). 0.51/0.93 fof(f9027,plain,( 0.51/0.93 spl50_330 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f9020,f7153,f9025])). 0.51/0.93 fof(f9025,plain,( 0.51/0.93 spl50_330 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_330])])). 0.51/0.93 fof(f9020,plain,( 0.51/0.93 sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f8983,f7154])). 0.51/0.93 fof(f8983,plain,( 0.51/0.93 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 inference(superposition,[],[f7113,f6449])). 0.51/0.93 fof(f9018,plain,( 0.51/0.93 spl50_328 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f8981,f9009,f9016])). 0.51/0.93 fof(f9016,plain,( 0.51/0.93 spl50_328 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_328])])). 0.51/0.93 fof(f8981,plain,( 0.51/0.93 ( ! [X1] : (hBOOL(X1) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint))) )), 0.51/0.93 inference(superposition,[],[f7113,f6755])). 0.51/0.93 fof(f9011,plain,( 0.51/0.93 spl50_324 | spl50_326), 0.51/0.93 inference(avatar_split_clause,[],[f8980,f9009,f9006])). 0.51/0.93 fof(f9006,plain,( 0.51/0.93 spl50_324 <=> sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_324])])). 0.51/0.93 fof(f8980,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(X0) | sP48(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7113,f6260])). 0.51/0.93 fof(f8946,plain,( 0.51/0.93 spl50_322 | spl50_78 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f8926,f7250,f7268,f8944])). 0.51/0.93 fof(f8944,plain,( 0.51/0.93 spl50_322 <=> sP48(c_Nat_OSuc,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_322])])). 0.51/0.93 fof(f7268,plain,( 0.51/0.93 spl50_78 <=> ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | ~hBOOL(hAPP(c_Nat_OSuc,X10)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_78])])). 0.51/0.93 fof(f8926,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | ~hBOOL(hAPP(c_Nat_OSuc,X10)) | sP48(c_Nat_OSuc,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))) ) | ~spl50_72), 0.51/0.93 inference(superposition,[],[f8758,f6632])). 0.51/0.93 fof(f8938,plain,( 0.51/0.93 spl50_128 | spl50_62 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f8912,f7250,f7224,f7639])). 0.51/0.93 fof(f7639,plain,( 0.51/0.93 spl50_128 <=> ! [X16,X15,X17] : sP48(c_Nat_OSuc,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X15,tc_fun(X16,tc_HOL_Obool))),X17))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_128])])). 0.51/0.93 fof(f8912,plain,( 0.51/0.93 ( ! [X33,X31,X34,X32] : (~hBOOL(X31) | sP48(c_Nat_OSuc,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X32,tc_fun(X33,tc_HOL_Obool))),X34))) ) | ~spl50_72), 0.51/0.93 inference(resolution,[],[f8758,f6040])). 0.51/0.93 fof(f8895,plain,( 0.51/0.93 spl50_320 | spl50_78 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f8875,f7250,f7268,f8893])). 0.51/0.93 fof(f8893,plain,( 0.51/0.93 spl50_320 <=> sP49(c_Nat_OSuc,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_320])])). 0.51/0.93 fof(f8875,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | ~hBOOL(hAPP(c_Nat_OSuc,X10)) | sP49(c_Nat_OSuc,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))) ) | ~spl50_72), 0.51/0.93 inference(superposition,[],[f8757,f6632])). 0.51/0.93 fof(f8887,plain,( 0.51/0.93 spl50_256 | spl50_62 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f8861,f7250,f7224,f8391])). 0.51/0.93 fof(f8861,plain,( 0.51/0.93 ( ! [X33,X31,X34,X32] : (~hBOOL(X31) | sP49(c_Nat_OSuc,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X32,tc_fun(X33,tc_HOL_Obool))),X34))) ) | ~spl50_72), 0.51/0.93 inference(resolution,[],[f8757,f6040])). 0.51/0.93 fof(f8842,plain,( 0.51/0.93 spl50_47 | ~spl50_58 | spl50_155), 0.51/0.93 inference(avatar_contradiction_clause,[],[f8841])). 0.51/0.93 fof(f8841,plain,( 0.51/0.93 $false | (~spl50_47 | ~spl50_58 | ~spl50_155)), 0.51/0.93 inference(subsumption_resolution,[],[f8840,f7794])). 0.51/0.93 fof(f7794,plain,( 0.51/0.93 ~sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_155), 0.51/0.93 inference(avatar_component_clause,[],[f7793])). 0.51/0.93 fof(f7793,plain,( 0.51/0.93 spl50_155 <=> ~sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_155])])). 0.51/0.93 fof(f8840,plain,( 0.51/0.93 sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_47 | ~spl50_58)), 0.51/0.93 inference(subsumption_resolution,[],[f8793,f7154])). 0.51/0.93 fof(f8793,plain,( 0.51/0.93 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_58), 0.51/0.93 inference(superposition,[],[f7180,f6708])). 0.51/0.93 fof(f7180,plain,( 0.51/0.93 ( ! [X37] : (hBOOL(hAPP(X37,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X37)) ) | ~spl50_58), 0.51/0.93 inference(avatar_component_clause,[],[f7179])). 0.51/0.93 fof(f7179,plain,( 0.51/0.93 spl50_58 <=> ! [X37] : (hBOOL(hAPP(X37,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X37))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_58])])). 0.51/0.93 fof(f8837,plain,( 0.51/0.93 ~spl50_24 | spl50_55 | ~spl50_58 | spl50_153), 0.51/0.93 inference(avatar_contradiction_clause,[],[f8836])). 0.51/0.93 fof(f8836,plain,( 0.51/0.93 $false | (~spl50_24 | ~spl50_55 | ~spl50_58 | ~spl50_153)), 0.51/0.93 inference(subsumption_resolution,[],[f8835,f7172])). 0.51/0.93 fof(f8835,plain,( 0.51/0.93 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | (~spl50_24 | ~spl50_58 | ~spl50_153)), 0.51/0.93 inference(forward_demodulation,[],[f8834,f6976])). 0.51/0.93 fof(f8834,plain,( 0.51/0.93 hBOOL(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_58 | ~spl50_153)), 0.51/0.93 inference(subsumption_resolution,[],[f8790,f7786])). 0.51/0.93 fof(f7786,plain,( 0.51/0.93 ~sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~spl50_153), 0.51/0.93 inference(avatar_component_clause,[],[f7785])). 0.51/0.93 fof(f7785,plain,( 0.51/0.93 spl50_153 <=> ~sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_153])])). 0.51/0.93 fof(f8790,plain,( 0.51/0.93 hBOOL(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~spl50_58), 0.51/0.93 inference(superposition,[],[f7180,f6634])). 0.51/0.93 fof(f8831,plain,( 0.51/0.93 spl50_47 | ~spl50_58 | spl50_151), 0.51/0.93 inference(avatar_contradiction_clause,[],[f8830])). 0.51/0.93 fof(f8830,plain,( 0.51/0.93 $false | (~spl50_47 | ~spl50_58 | ~spl50_151)), 0.51/0.93 inference(subsumption_resolution,[],[f8829,f7779])). 0.51/0.93 fof(f7779,plain,( 0.51/0.93 ~sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_151), 0.51/0.93 inference(avatar_component_clause,[],[f7778])). 0.51/0.93 fof(f7778,plain,( 0.51/0.93 spl50_151 <=> ~sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_151])])). 0.51/0.93 fof(f8829,plain,( 0.51/0.93 sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_47 | ~spl50_58)), 0.51/0.93 inference(subsumption_resolution,[],[f8787,f7154])). 0.51/0.93 fof(f8787,plain,( 0.51/0.93 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_58), 0.51/0.93 inference(superposition,[],[f7180,f6449])). 0.51/0.93 fof(f8828,plain,( 0.51/0.93 spl50_47 | ~spl50_58 | spl50_151), 0.51/0.93 inference(avatar_contradiction_clause,[],[f8827])). 0.51/0.93 fof(f8827,plain,( 0.51/0.93 $false | (~spl50_47 | ~spl50_58 | ~spl50_151)), 0.51/0.93 inference(subsumption_resolution,[],[f8826,f7779])). 0.51/0.93 fof(f8826,plain,( 0.51/0.93 sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_47 | ~spl50_58)), 0.51/0.93 inference(subsumption_resolution,[],[f8786,f7154])). 0.51/0.93 fof(f8786,plain,( 0.51/0.93 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_58), 0.51/0.93 inference(superposition,[],[f7180,f6450])). 0.51/0.93 fof(f8823,plain,( 0.51/0.93 ~spl50_42 | ~spl50_58 | spl50_61), 0.51/0.93 inference(avatar_contradiction_clause,[],[f8822])). 0.51/0.93 fof(f8822,plain,( 0.51/0.93 $false | (~spl50_42 | ~spl50_58 | ~spl50_61)), 0.51/0.93 inference(subsumption_resolution,[],[f8821,f8155])). 0.51/0.93 fof(f8155,plain,( 0.51/0.93 ( ! [X0] : (~sP48(X0,X0)) )), 0.51/0.93 inference(resolution,[],[f6879,f6170])). 0.51/0.93 fof(f6170,plain,( 0.51/0.93 ( ! [X0,X1] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X0),X0))) )), 0.51/0.93 inference(cnf_transformation,[],[f5335])). 0.51/0.93 fof(f5335,plain,( 0.51/0.93 ! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X0),X0))), 0.51/0.93 inference(rectify,[],[f854])). 0.51/0.93 fof(f854,axiom,( 0.51/0.93 ! [X18,X2] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X18),X18))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_subset__refl)). 0.51/0.93 fof(f6879,plain,( 0.51/0.93 ( ! [X2,X3,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) | ~sP48(X2,X1)) )), 0.51/0.93 inference(general_splitting,[],[f6156,f6878_D])). 0.51/0.93 fof(f6156,plain,( 0.51/0.93 ( ! [X2,X0,X3,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) | ~hBOOL(hAPP(X2,X0)) | hBOOL(hAPP(X1,X0))) )), 0.51/0.93 inference(cnf_transformation,[],[f5760])). 0.51/0.93 fof(f5760,plain,( 0.51/0.93 ! [X0,X1,X2,X3] : (hBOOL(hAPP(X1,X0)) | ~hBOOL(hAPP(X2,X0)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)))), 0.51/0.93 inference(flattening,[],[f5759])). 0.51/0.93 fof(f5759,plain,( 0.51/0.93 ! [X0,X1,X2,X3] : ((hBOOL(hAPP(X1,X0)) | ~hBOOL(hAPP(X2,X0))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)))), 0.51/0.93 inference(ennf_transformation,[],[f5324])). 0.51/0.93 fof(f5324,plain,( 0.51/0.93 ! [X0,X1,X2,X3] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) => (hBOOL(hAPP(X2,X0)) => hBOOL(hAPP(X1,X0))))), 0.51/0.93 inference(rectify,[],[f362])). 0.51/0.93 fof(f362,axiom,( 0.51/0.93 ! [X17,X131,X40,X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X40),X131)) => (hBOOL(hAPP(X40,X17)) => hBOOL(hAPP(X131,X17))))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_predicate1D)). 0.51/0.93 fof(f8821,plain,( 0.51/0.93 sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | (~spl50_42 | ~spl50_58 | ~spl50_61)), 0.51/0.93 inference(subsumption_resolution,[],[f8783,f7186])). 0.51/0.93 fof(f8783,plain,( 0.51/0.93 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | (~spl50_42 | ~spl50_58)), 0.51/0.93 inference(superposition,[],[f7180,f7091])). 0.51/0.93 fof(f8819,plain,( 0.51/0.93 spl50_318 | ~spl50_24 | spl50_55 | ~spl50_58), 0.51/0.93 inference(avatar_split_clause,[],[f8812,f7179,f7171,f6975,f8817])). 0.51/0.93 fof(f8817,plain,( 0.51/0.93 spl50_318 <=> sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Nat_OSuc)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_318])])). 0.51/0.93 fof(f8812,plain,( 0.51/0.93 sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Nat_OSuc) | (~spl50_24 | ~spl50_55 | ~spl50_58)), 0.51/0.93 inference(subsumption_resolution,[],[f8779,f7172])). 0.51/0.93 fof(f8779,plain,( 0.51/0.93 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Nat_OSuc) | (~spl50_24 | ~spl50_58)), 0.51/0.93 inference(superposition,[],[f7180,f6976])). 0.51/0.93 fof(f8811,plain,( 0.51/0.93 spl50_148 | ~spl50_58), 0.51/0.93 inference(avatar_split_clause,[],[f8778,f7179,f7772])). 0.51/0.93 fof(f7772,plain,( 0.51/0.93 spl50_148 <=> ! [X21] : sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_148])])). 0.51/0.93 fof(f8778,plain,( 0.51/0.93 ( ! [X21] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool)))) ) | ~spl50_58), 0.51/0.93 inference(resolution,[],[f7180,f7079])). 0.51/0.93 fof(f8810,plain,( 0.51/0.93 spl50_146 | ~spl50_58), 0.51/0.93 inference(avatar_split_clause,[],[f8776,f7179,f7768])). 0.51/0.93 fof(f7768,plain,( 0.51/0.93 spl50_146 <=> ! [X16,X15,X17] : sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X15,tc_fun(X16,tc_HOL_Obool))),X17))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_146])])). 0.51/0.93 fof(f8776,plain,( 0.51/0.93 ( ! [X19,X17,X18] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X17,tc_fun(X18,tc_HOL_Obool))),X19))) ) | ~spl50_58), 0.51/0.93 inference(resolution,[],[f7180,f6040])). 0.51/0.93 fof(f8809,plain,( 0.51/0.93 spl50_316 | ~spl50_58), 0.51/0.93 inference(avatar_split_clause,[],[f8774,f7179,f8807])). 0.51/0.93 fof(f8807,plain,( 0.51/0.93 spl50_316 <=> sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_316])])). 0.51/0.93 fof(f8774,plain,( 0.51/0.93 sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_58), 0.51/0.93 inference(resolution,[],[f7180,f6791])). 0.51/0.93 fof(f8802,plain,( 0.51/0.93 spl50_314 | ~spl50_42 | ~spl50_58), 0.51/0.93 inference(avatar_split_clause,[],[f8801,f7179,f7090,f8798])). 0.51/0.93 fof(f8798,plain,( 0.51/0.93 spl50_314 <=> sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_314])])). 0.51/0.93 fof(f8801,plain,( 0.51/0.93 sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_42 | ~spl50_58)), 0.51/0.93 inference(forward_demodulation,[],[f8773,f7091])). 0.51/0.93 fof(f8773,plain,( 0.51/0.93 sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_58), 0.51/0.93 inference(resolution,[],[f7180,f6251])). 0.51/0.93 fof(f8800,plain,( 0.51/0.93 spl50_314 | spl50_41 | ~spl50_58), 0.51/0.93 inference(avatar_split_clause,[],[f8766,f7179,f7052,f8798])). 0.51/0.93 fof(f8766,plain,( 0.51/0.93 sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_41 | ~spl50_58)), 0.51/0.93 inference(resolution,[],[f7180,f7053])). 0.51/0.93 fof(f8747,plain,( 0.51/0.93 ~spl50_55 | spl50_274 | spl50_61), 0.51/0.93 inference(avatar_split_clause,[],[f8211,f7185,f8498,f7171])). 0.51/0.93 fof(f8498,plain,( 0.51/0.93 spl50_274 <=> sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_274])])). 0.51/0.93 fof(f8211,plain,( 0.51/0.93 sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~spl50_61), 0.51/0.93 inference(resolution,[],[f7892,f7186])). 0.51/0.93 fof(f8746,plain,( 0.51/0.93 ~spl50_55 | spl50_61 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8745,f8495,f7185,f7171])). 0.51/0.93 fof(f8495,plain,( 0.51/0.93 spl50_275 <=> ~sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_275])])). 0.51/0.93 fof(f8745,plain,( 0.51/0.93 ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | (~spl50_61 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8211,f8496])). 0.51/0.93 fof(f8496,plain,( 0.51/0.93 ~sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~spl50_275), 0.51/0.93 inference(avatar_component_clause,[],[f8495])). 0.51/0.93 fof(f8744,plain,( 0.51/0.93 ~spl50_55 | spl50_312), 0.51/0.93 inference(avatar_split_clause,[],[f8224,f8742,f7171])). 0.51/0.93 fof(f8224,plain,( 0.51/0.93 ( ! [X11] : (hBOOL(X11) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7892,f6742])). 0.51/0.93 fof(f8740,plain,( 0.51/0.93 ~spl50_55 | spl50_310), 0.51/0.93 inference(avatar_split_clause,[],[f8226,f8738,f7171])). 0.51/0.93 fof(f8226,plain,( 0.51/0.93 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7892,f6633])). 0.51/0.93 fof(f8736,plain,( 0.51/0.93 ~spl50_55 | spl50_308), 0.51/0.93 inference(avatar_split_clause,[],[f8227,f8734,f7171])). 0.51/0.93 fof(f8227,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7892,f6635])). 0.51/0.93 fof(f8732,plain,( 0.51/0.93 ~spl50_55 | spl50_61 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8502,f8495,f7185,f7171])). 0.51/0.93 fof(f8502,plain,( 0.51/0.93 ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | (~spl50_61 | ~spl50_275)), 0.51/0.93 inference(resolution,[],[f8501,f7186])). 0.51/0.93 fof(f8501,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X0)) | ~hBOOL(X0)) ) | ~spl50_275), 0.51/0.93 inference(resolution,[],[f8496,f7892])). 0.51/0.93 fof(f8731,plain,( 0.51/0.93 ~spl50_55 | ~spl50_24 | ~spl50_42 | spl50_61 | ~spl50_78), 0.51/0.93 inference(avatar_split_clause,[],[f8512,f7268,f7185,f7090,f6975,f7171])). 0.51/0.93 fof(f8512,plain,( 0.51/0.93 ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | (~spl50_24 | ~spl50_42 | ~spl50_61 | ~spl50_78)), 0.51/0.93 inference(forward_demodulation,[],[f8511,f6976])). 0.51/0.93 fof(f8511,plain,( 0.51/0.93 ~hBOOL(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_42 | ~spl50_61 | ~spl50_78)), 0.51/0.93 inference(subsumption_resolution,[],[f8510,f7186])). 0.51/0.93 fof(f8510,plain,( 0.51/0.93 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | (~spl50_42 | ~spl50_78)), 0.51/0.93 inference(superposition,[],[f7269,f7091])). 0.51/0.93 fof(f7269,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | ~hBOOL(hAPP(c_Nat_OSuc,X10))) ) | ~spl50_78), 0.51/0.93 inference(avatar_component_clause,[],[f7268])). 0.51/0.93 fof(f8730,plain,( 0.51/0.93 ~spl50_55 | spl50_61 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8729,f8495,f7185,f7171])). 0.51/0.93 fof(f8729,plain,( 0.51/0.93 ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | (~spl50_61 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8624,f8178])). 0.51/0.93 fof(f8178,plain,( 0.51/0.93 ( ! [X0] : (~sP49(X0,X0)) )), 0.51/0.93 inference(resolution,[],[f6881,f6170])). 0.51/0.93 fof(f6881,plain,( 0.51/0.93 ( ! [X0,X3,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X0)) | ~sP49(X3,X0)) )), 0.51/0.93 inference(general_splitting,[],[f6157,f6880_D])). 0.51/0.93 fof(f6157,plain,( 0.51/0.93 ( ! [X2,X0,X3,X1] : (~hBOOL(hAPP(X3,X2)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X0)) | hBOOL(hAPP(X0,X2))) )), 0.51/0.93 inference(cnf_transformation,[],[f5762])). 0.51/0.93 fof(f5762,plain,( 0.51/0.93 ! [X0,X1,X2,X3] : (hBOOL(hAPP(X0,X2)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X0)) | ~hBOOL(hAPP(X3,X2)))), 0.51/0.93 inference(flattening,[],[f5761])). 0.51/0.93 fof(f5761,plain,( 0.51/0.93 ! [X0,X1,X2,X3] : ((hBOOL(hAPP(X0,X2)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X0))) | ~hBOOL(hAPP(X3,X2)))), 0.51/0.93 inference(ennf_transformation,[],[f5325])). 0.51/0.93 fof(f5325,plain,( 0.51/0.93 ! [X0,X1,X2,X3] : (hBOOL(hAPP(X3,X2)) => (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X0)) => hBOOL(hAPP(X0,X2))))), 0.51/0.93 inference(rectify,[],[f611])). 0.51/0.93 fof(f611,axiom,( 0.51/0.93 ! [X131,X2,X17,X40] : (hBOOL(hAPP(X40,X17)) => (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X40),X131)) => hBOOL(hAPP(X131,X17))))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rev__predicate1D)). 0.51/0.93 fof(f8624,plain,( 0.51/0.93 sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | (~spl50_61 | ~spl50_275)), 0.51/0.93 inference(resolution,[],[f8503,f7186])). 0.51/0.93 fof(f8503,plain,( 0.51/0.93 ( ! [X0,X1] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1) | hBOOL(hAPP(X1,X0)) | ~hBOOL(X0)) ) | ~spl50_275), 0.51/0.93 inference(resolution,[],[f8501,f6880])). 0.51/0.93 fof(f8728,plain,( 0.51/0.93 ~spl50_55 | spl50_306 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8637,f8495,f8726,f7171])). 0.51/0.93 fof(f8726,plain,( 0.51/0.93 spl50_306 <=> ! [X11] : (hBOOL(X11) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_306])])). 0.51/0.93 fof(f8637,plain,( 0.51/0.93 ( ! [X11] : (hBOOL(X11) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8503,f6742])). 0.51/0.93 fof(f8724,plain,( 0.51/0.93 ~spl50_55 | spl50_304 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8639,f8495,f8722,f7171])). 0.51/0.93 fof(f8722,plain,( 0.51/0.93 spl50_304 <=> ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_304])])). 0.51/0.93 fof(f8639,plain,( 0.51/0.93 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8503,f6633])). 0.51/0.93 fof(f8720,plain,( 0.51/0.93 ~spl50_55 | spl50_302 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8640,f8495,f8718,f7171])). 0.51/0.93 fof(f8718,plain,( 0.51/0.93 spl50_302 <=> ! [X14] : (hBOOL(X14) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_302])])). 0.51/0.93 fof(f8640,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8503,f6635])). 0.51/0.93 fof(f8716,plain,( 0.51/0.93 ~spl50_47 | spl50_228 | ~spl50_42), 0.51/0.93 inference(avatar_split_clause,[],[f8350,f7090,f8241,f7153])). 0.51/0.93 fof(f8241,plain,( 0.51/0.93 spl50_228 <=> sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_228])])). 0.51/0.93 fof(f8350,plain,( 0.51/0.93 sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f8204,f7091])). 0.51/0.93 fof(f8204,plain,( 0.51/0.93 ( ! [X17] : (sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X17)) | ~hBOOL(X17)) )), 0.51/0.93 inference(resolution,[],[f7892,f6251])). 0.51/0.93 fof(f8715,plain,( 0.51/0.93 spl50_62 | spl50_46 | spl50_269 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8648,f8495,f8472,f7150,f7224])). 0.51/0.93 fof(f7150,plain,( 0.51/0.93 spl50_46 <=> hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_46])])). 0.51/0.93 fof(f8472,plain,( 0.51/0.93 spl50_269 <=> ~sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_269])])). 0.51/0.93 fof(f8648,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(X0)) ) | (~spl50_269 | ~spl50_275)), 0.51/0.93 inference(forward_demodulation,[],[f8604,f6449])). 0.51/0.93 fof(f8604,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) | ~hBOOL(X0)) ) | (~spl50_269 | ~spl50_275)), 0.51/0.93 inference(resolution,[],[f8503,f8473])). 0.51/0.93 fof(f8473,plain,( 0.51/0.93 ~sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_269), 0.51/0.93 inference(avatar_component_clause,[],[f8472])). 0.51/0.93 fof(f8714,plain,( 0.51/0.93 spl50_62 | spl50_46 | spl50_273 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8653,f8495,f8487,f7150,f7224])). 0.51/0.93 fof(f8487,plain,( 0.51/0.93 spl50_273 <=> ~sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_273])])). 0.51/0.93 fof(f8653,plain,( 0.51/0.93 ( ! [X2] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(X2)) ) | (~spl50_273 | ~spl50_275)), 0.51/0.93 inference(forward_demodulation,[],[f8606,f6708])). 0.51/0.93 fof(f8606,plain,( 0.51/0.93 ( ! [X2] : (hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) | ~hBOOL(X2)) ) | (~spl50_273 | ~spl50_275)), 0.51/0.93 inference(resolution,[],[f8503,f8488])). 0.51/0.93 fof(f8488,plain,( 0.51/0.93 ~sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_273), 0.51/0.93 inference(avatar_component_clause,[],[f8487])). 0.51/0.93 fof(f8713,plain,( 0.51/0.93 ~spl50_47 | spl50_300 | spl50_41 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8611,f8495,f7052,f8711,f7153])). 0.51/0.93 fof(f8711,plain,( 0.51/0.93 spl50_300 <=> sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_300])])). 0.51/0.93 fof(f8611,plain,( 0.51/0.93 sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_41 | ~spl50_275)), 0.51/0.93 inference(resolution,[],[f8503,f7053])). 0.51/0.93 fof(f8706,plain,( 0.51/0.93 ~spl50_47 | spl50_298 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8619,f8495,f8704,f7153])). 0.51/0.93 fof(f8704,plain,( 0.51/0.93 spl50_298 <=> ! [X22] : sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X22))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_298])])). 0.51/0.93 fof(f8619,plain,( 0.51/0.93 ( ! [X22] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X22)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) | ~spl50_275), 0.51/0.93 inference(resolution,[],[f8503,f6248])). 0.51/0.93 fof(f8702,plain,( 0.51/0.93 spl50_296 | spl50_46 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8628,f8495,f7150,f8700])). 0.51/0.93 fof(f8700,plain,( 0.51/0.93 spl50_296 <=> ! [X2] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_296])])). 0.51/0.93 fof(f8628,plain,( 0.51/0.93 ( ! [X2] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2)) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8503,f6450])). 0.51/0.93 fof(f8698,plain,( 0.51/0.93 spl50_62 | spl50_46 | spl50_269 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8697,f8495,f8472,f7150,f7224])). 0.51/0.93 fof(f8697,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(X3)) ) | (~spl50_269 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8629,f8473])). 0.51/0.93 fof(f8629,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8503,f6449])). 0.51/0.93 fof(f8696,plain,( 0.51/0.93 spl50_62 | spl50_46 | spl50_273 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8695,f8495,f8487,f7150,f7224])). 0.51/0.93 fof(f8695,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(X9)) ) | (~spl50_273 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8635,f8488])). 0.51/0.93 fof(f8635,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8503,f6708])). 0.51/0.93 fof(f8694,plain,( 0.51/0.93 ~spl50_47 | spl50_294 | spl50_54 | ~spl50_24 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8641,f8495,f6975,f7168,f8692,f7153])). 0.51/0.93 fof(f8692,plain,( 0.51/0.93 spl50_294 <=> sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Nat_OSuc)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_294])])). 0.51/0.93 fof(f8641,plain,( 0.51/0.93 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_24 | ~spl50_275)), 0.51/0.93 inference(superposition,[],[f8503,f6976])). 0.51/0.93 fof(f8687,plain,( 0.51/0.93 ~spl50_47 | spl50_292 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8642,f8495,f8685,f7153])). 0.51/0.93 fof(f8685,plain,( 0.51/0.93 spl50_292 <=> ! [X15] : (hBOOL(X15) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_292])])). 0.51/0.93 fof(f8642,plain,( 0.51/0.93 ( ! [X15] : (hBOOL(X15) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8503,f6451])). 0.51/0.93 fof(f8683,plain,( 0.51/0.93 ~spl50_47 | spl50_290 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8643,f8495,f8681,f7153])). 0.51/0.93 fof(f8681,plain,( 0.51/0.93 spl50_290 <=> ! [X16] : (hBOOL(X16) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_290])])). 0.51/0.93 fof(f8643,plain,( 0.51/0.93 ( ! [X16] : (hBOOL(X16) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8503,f6531])). 0.51/0.93 fof(f8679,plain,( 0.51/0.93 ~spl50_47 | spl50_288 | ~spl50_42 | spl50_61 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8672,f8495,f7185,f7090,f8677,f7153])). 0.51/0.93 fof(f8677,plain,( 0.51/0.93 spl50_288 <=> sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_288])])). 0.51/0.93 fof(f8672,plain,( 0.51/0.93 sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_42 | ~spl50_61 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8645,f7186])). 0.51/0.93 fof(f8645,plain,( 0.51/0.93 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_42 | ~spl50_275)), 0.51/0.93 inference(superposition,[],[f8503,f7091])). 0.51/0.93 fof(f8671,plain,( 0.51/0.93 spl50_286 | spl50_46 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8647,f8495,f7150,f8669])). 0.51/0.93 fof(f8669,plain,( 0.51/0.93 spl50_286 <=> ! [X20,X22,X19,X21] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_286])])). 0.51/0.93 fof(f8647,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8503,f6061])). 0.51/0.93 fof(f8666,plain,( 0.51/0.93 spl50_62 | spl50_47 | spl50_273 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8665,f8495,f8487,f7153,f7224])). 0.51/0.93 fof(f8665,plain,( 0.51/0.93 ( ! [X9] : (~hBOOL(X9)) ) | (~spl50_47 | ~spl50_273 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8664,f8488])). 0.51/0.93 fof(f8664,plain,( 0.51/0.93 ( ! [X9] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | (~spl50_47 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8635,f7154])). 0.51/0.93 fof(f8663,plain,( 0.51/0.93 spl50_72 | spl50_271 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8662,f8495,f8479,f7250])). 0.51/0.93 fof(f8479,plain,( 0.51/0.93 spl50_271 <=> ~sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_271])])). 0.51/0.93 fof(f8662,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | ~hBOOL(X6)) ) | (~spl50_271 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8632,f8480])). 0.51/0.93 fof(f8480,plain,( 0.51/0.93 ~sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~spl50_271), 0.51/0.93 inference(avatar_component_clause,[],[f8479])). 0.51/0.93 fof(f8632,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(X6)) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8503,f6634])). 0.51/0.93 fof(f8661,plain,( 0.51/0.93 spl50_62 | spl50_47 | spl50_269 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8660,f8495,f8472,f7153,f7224])). 0.51/0.93 fof(f8660,plain,( 0.51/0.93 ( ! [X3] : (~hBOOL(X3)) ) | (~spl50_47 | ~spl50_269 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8659,f8473])). 0.51/0.93 fof(f8659,plain,( 0.51/0.93 ( ! [X3] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | (~spl50_47 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8629,f7154])). 0.51/0.93 fof(f8657,plain,( 0.51/0.93 spl50_62 | spl50_266 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8625,f8495,f8466,f7224])). 0.51/0.93 fof(f8466,plain,( 0.51/0.93 spl50_266 <=> ! [X33] : sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X33,tc_HOL_Obool)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_266])])). 0.51/0.93 fof(f8625,plain,( 0.51/0.93 ( ! [X33,X34] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X33,tc_HOL_Obool))) | ~hBOOL(X34)) ) | ~spl50_275), 0.51/0.93 inference(resolution,[],[f8503,f7079])). 0.51/0.93 fof(f8656,plain,( 0.51/0.93 spl50_62 | spl50_264 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8622,f8495,f8462,f7224])). 0.51/0.93 fof(f8462,plain,( 0.51/0.93 spl50_264 <=> ! [X27,X29,X28] : sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X27,tc_fun(X28,tc_HOL_Obool))),X29))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_264])])). 0.51/0.93 fof(f8622,plain,( 0.51/0.93 ( ! [X30,X28,X29,X27] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X27,tc_fun(X28,tc_HOL_Obool))),X29)) | ~hBOOL(X30)) ) | ~spl50_275), 0.51/0.93 inference(resolution,[],[f8503,f6040])). 0.51/0.93 fof(f8655,plain,( 0.51/0.93 spl50_62 | spl50_47 | spl50_273 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8654,f8495,f8487,f7153,f7224])). 0.51/0.93 fof(f8654,plain,( 0.51/0.93 ( ! [X2] : (~hBOOL(X2)) ) | (~spl50_47 | ~spl50_273 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8653,f7154])). 0.51/0.93 fof(f8652,plain,( 0.51/0.93 spl50_72 | spl50_271 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8651,f8495,f8479,f7250])). 0.51/0.93 fof(f8651,plain,( 0.51/0.93 ( ! [X1] : (hBOOL(hAPP(c_Nat_OSuc,X1)) | ~hBOOL(X1)) ) | (~spl50_271 | ~spl50_275)), 0.51/0.93 inference(forward_demodulation,[],[f8605,f6634])). 0.51/0.93 fof(f8605,plain,( 0.51/0.93 ( ! [X1] : (hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)) | ~hBOOL(X1)) ) | (~spl50_271 | ~spl50_275)), 0.51/0.93 inference(resolution,[],[f8503,f8480])). 0.51/0.93 fof(f8650,plain,( 0.51/0.93 spl50_62 | spl50_47 | spl50_269 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8649,f8495,f8472,f7153,f7224])). 0.51/0.93 fof(f8649,plain,( 0.51/0.93 ( ! [X0] : (~hBOOL(X0)) ) | (~spl50_47 | ~spl50_269 | ~spl50_275)), 0.51/0.93 inference(subsumption_resolution,[],[f8648,f7154])). 0.51/0.93 fof(f8584,plain,( 0.51/0.93 spl50_62 | spl50_284 | spl50_47 | spl50_239), 0.51/0.93 inference(avatar_split_clause,[],[f8577,f8274,f7153,f8582,f7224])). 0.51/0.93 fof(f8582,plain,( 0.51/0.93 spl50_284 <=> sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_284])])). 0.51/0.93 fof(f8274,plain,( 0.51/0.93 spl50_239 <=> ~sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_239])])). 0.51/0.93 fof(f8577,plain,( 0.51/0.93 ( ! [X9] : (sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | (~spl50_47 | ~spl50_239)), 0.51/0.93 inference(subsumption_resolution,[],[f8540,f7154])). 0.51/0.93 fof(f8540,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | ~spl50_239), 0.51/0.93 inference(superposition,[],[f8325,f6708])). 0.51/0.93 fof(f8325,plain,( 0.51/0.93 ( ! [X0,X1] : (sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1) | hBOOL(hAPP(X1,X0)) | ~hBOOL(X0)) ) | ~spl50_239), 0.51/0.93 inference(resolution,[],[f8319,f6880])). 0.51/0.93 fof(f8319,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0)) | ~hBOOL(X0)) ) | ~spl50_239), 0.51/0.93 inference(resolution,[],[f8275,f7892])). 0.51/0.93 fof(f8275,plain,( 0.51/0.93 ~sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~spl50_239), 0.51/0.93 inference(avatar_component_clause,[],[f8274])). 0.51/0.93 fof(f8576,plain,( 0.51/0.93 spl50_282 | spl50_72 | spl50_239), 0.51/0.93 inference(avatar_split_clause,[],[f8537,f8274,f7250,f8574])). 0.51/0.93 fof(f8574,plain,( 0.51/0.93 spl50_282 <=> sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_282])])). 0.51/0.93 fof(f8537,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(X6)) ) | ~spl50_239), 0.51/0.93 inference(superposition,[],[f8325,f6634])). 0.51/0.93 fof(f8569,plain,( 0.51/0.93 spl50_62 | spl50_280 | spl50_47 | spl50_239), 0.51/0.93 inference(avatar_split_clause,[],[f8562,f8274,f7153,f8567,f7224])). 0.51/0.93 fof(f8567,plain,( 0.51/0.93 spl50_280 <=> sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_280])])). 0.51/0.93 fof(f8562,plain,( 0.51/0.93 ( ! [X3] : (sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | (~spl50_47 | ~spl50_239)), 0.51/0.93 inference(subsumption_resolution,[],[f8534,f7154])). 0.51/0.93 fof(f8534,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | ~spl50_239), 0.51/0.93 inference(superposition,[],[f8325,f6449])). 0.51/0.93 fof(f8560,plain,( 0.51/0.93 spl50_62 | spl50_278 | spl50_239), 0.51/0.93 inference(avatar_split_clause,[],[f8530,f8274,f8558,f7224])). 0.51/0.93 fof(f8558,plain,( 0.51/0.93 spl50_278 <=> ! [X33] : sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X33,tc_HOL_Obool)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_278])])). 0.51/0.93 fof(f8530,plain,( 0.51/0.93 ( ! [X33,X34] : (sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X33,tc_HOL_Obool))) | ~hBOOL(X34)) ) | ~spl50_239), 0.51/0.93 inference(resolution,[],[f8325,f7079])). 0.51/0.93 fof(f8556,plain,( 0.51/0.93 spl50_62 | spl50_276 | spl50_239), 0.51/0.93 inference(avatar_split_clause,[],[f8527,f8274,f8554,f7224])). 0.51/0.93 fof(f8554,plain,( 0.51/0.93 spl50_276 <=> ! [X27,X29,X28] : sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X27,tc_fun(X28,tc_HOL_Obool))),X29))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_276])])). 0.51/0.93 fof(f8527,plain,( 0.51/0.93 ( ! [X30,X28,X29,X27] : (sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X27,tc_fun(X28,tc_HOL_Obool))),X29)) | ~hBOOL(X30)) ) | ~spl50_239), 0.51/0.93 inference(resolution,[],[f8325,f6040])). 0.51/0.93 fof(f8506,plain,( 0.51/0.93 spl50_78 | spl50_275), 0.51/0.93 inference(avatar_split_clause,[],[f8505,f8495,f7268])). 0.51/0.93 fof(f8505,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0)) | ~hBOOL(hAPP(c_Nat_OSuc,X0))) ) | ~spl50_275), 0.51/0.93 inference(superposition,[],[f8501,f6632])). 0.51/0.93 fof(f8500,plain,( 0.51/0.93 spl50_274 | spl50_78), 0.51/0.93 inference(avatar_split_clause,[],[f8223,f7268,f8498])). 0.51/0.93 fof(f8223,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~hBOOL(hAPP(c_Nat_OSuc,X10))) )), 0.51/0.93 inference(superposition,[],[f7892,f6632])). 0.51/0.93 fof(f8492,plain,( 0.51/0.93 spl50_62 | spl50_272 | spl50_47 | spl50_169), 0.51/0.93 inference(avatar_split_clause,[],[f8485,f7983,f7153,f8490,f7224])). 0.51/0.93 fof(f8490,plain,( 0.51/0.93 spl50_272 <=> sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_272])])). 0.51/0.93 fof(f7983,plain,( 0.51/0.93 spl50_169 <=> ~sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_169])])). 0.51/0.93 fof(f8485,plain,( 0.51/0.93 ( ! [X9] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | (~spl50_47 | ~spl50_169)), 0.51/0.93 inference(subsumption_resolution,[],[f8448,f7154])). 0.51/0.93 fof(f8448,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | ~spl50_169), 0.51/0.93 inference(superposition,[],[f8140,f6708])). 0.51/0.93 fof(f8140,plain,( 0.51/0.93 ( ! [X0,X1] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X1) | hBOOL(hAPP(X1,X0)) | ~hBOOL(X0)) ) | ~spl50_169), 0.51/0.93 inference(resolution,[],[f8123,f6880])). 0.51/0.93 fof(f8123,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X0)) | ~hBOOL(X0)) ) | ~spl50_169), 0.51/0.93 inference(resolution,[],[f7984,f7891])). 0.51/0.93 fof(f7984,plain,( 0.51/0.93 ~sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~spl50_169), 0.51/0.93 inference(avatar_component_clause,[],[f7983])). 0.51/0.93 fof(f8484,plain,( 0.51/0.93 spl50_270 | spl50_72 | spl50_169), 0.51/0.93 inference(avatar_split_clause,[],[f8445,f7983,f7250,f8482])). 0.51/0.93 fof(f8482,plain,( 0.51/0.93 spl50_270 <=> sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_270])])). 0.51/0.93 fof(f8445,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(X6)) ) | ~spl50_169), 0.51/0.93 inference(superposition,[],[f8140,f6634])). 0.51/0.93 fof(f8477,plain,( 0.51/0.93 spl50_62 | spl50_268 | spl50_47 | spl50_169), 0.51/0.93 inference(avatar_split_clause,[],[f8470,f7983,f7153,f8475,f7224])). 0.51/0.93 fof(f8475,plain,( 0.51/0.93 spl50_268 <=> sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_268])])). 0.51/0.93 fof(f8470,plain,( 0.51/0.93 ( ! [X3] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | (~spl50_47 | ~spl50_169)), 0.51/0.93 inference(subsumption_resolution,[],[f8442,f7154])). 0.51/0.93 fof(f8442,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | ~spl50_169), 0.51/0.93 inference(superposition,[],[f8140,f6449])). 0.51/0.93 fof(f8468,plain,( 0.51/0.93 spl50_62 | spl50_266 | spl50_169), 0.51/0.93 inference(avatar_split_clause,[],[f8438,f7983,f8466,f7224])). 0.51/0.93 fof(f8438,plain,( 0.51/0.93 ( ! [X33,X34] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X33,tc_HOL_Obool))) | ~hBOOL(X34)) ) | ~spl50_169), 0.51/0.93 inference(resolution,[],[f8140,f7079])). 0.51/0.93 fof(f8464,plain,( 0.51/0.93 spl50_62 | spl50_264 | spl50_169), 0.51/0.93 inference(avatar_split_clause,[],[f8435,f7983,f8462,f7224])). 0.51/0.93 fof(f8435,plain,( 0.51/0.93 ( ! [X30,X28,X29,X27] : (sP49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X27,tc_fun(X28,tc_HOL_Obool))),X29)) | ~hBOOL(X30)) ) | ~spl50_169), 0.51/0.93 inference(resolution,[],[f8140,f6040])). 0.51/0.93 fof(f8414,plain,( 0.51/0.93 spl50_262 | spl50_62 | spl50_47 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f8407,f7250,f7153,f7224,f8412])). 0.51/0.93 fof(f8412,plain,( 0.51/0.93 spl50_262 <=> sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_262])])). 0.51/0.93 fof(f8407,plain,( 0.51/0.93 ( ! [X9] : (~hBOOL(X9) | sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) | (~spl50_47 | ~spl50_72)), 0.51/0.93 inference(subsumption_resolution,[],[f8377,f7154])). 0.51/0.93 fof(f8377,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(X9) | sP49(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) | ~spl50_72), 0.51/0.93 inference(superposition,[],[f8320,f6708])). 0.51/0.93 fof(f8320,plain,( 0.51/0.93 ( ! [X0,X1] : (hBOOL(hAPP(X1,X0)) | ~hBOOL(X0) | sP49(c_Nat_OSuc,X1)) ) | ~spl50_72), 0.51/0.93 inference(resolution,[],[f7251,f6880])). 0.51/0.93 fof(f8406,plain,( 0.51/0.93 spl50_260 | spl50_62 | spl50_47 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f8399,f7250,f7153,f7224,f8404])). 0.51/0.93 fof(f8404,plain,( 0.51/0.93 spl50_260 <=> sP49(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_260])])). 0.51/0.93 fof(f8399,plain,( 0.51/0.93 ( ! [X3] : (~hBOOL(X3) | sP49(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) | (~spl50_47 | ~spl50_72)), 0.51/0.93 inference(subsumption_resolution,[],[f8371,f7154])). 0.51/0.93 fof(f8371,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(X3) | sP49(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) | ~spl50_72), 0.51/0.93 inference(superposition,[],[f8320,f6449])). 0.51/0.93 fof(f8397,plain,( 0.51/0.93 spl50_258 | spl50_62 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f8367,f7250,f7224,f8395])). 0.51/0.93 fof(f8367,plain,( 0.51/0.93 ( ! [X33,X34] : (~hBOOL(X33) | sP49(c_Nat_OSuc,c_Orderings_Obot__class_Obot(tc_fun(X34,tc_HOL_Obool)))) ) | ~spl50_72), 0.51/0.93 inference(resolution,[],[f8320,f7079])). 0.51/0.93 fof(f8393,plain,( 0.51/0.93 spl50_256 | spl50_62 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f8364,f7250,f7224,f8391])). 0.51/0.93 fof(f8364,plain,( 0.51/0.93 ( ! [X30,X28,X29,X27] : (~hBOOL(X27) | sP49(c_Nat_OSuc,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X28,tc_fun(X29,tc_HOL_Obool))),X30))) ) | ~spl50_72), 0.51/0.93 inference(resolution,[],[f8320,f6040])). 0.51/0.93 fof(f8342,plain,( 0.51/0.93 spl50_254 | ~spl50_2), 0.51/0.93 inference(avatar_split_clause,[],[f8331,f6896,f8340])). 0.51/0.93 fof(f8340,plain,( 0.51/0.93 spl50_254 <=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_254])])). 0.51/0.93 fof(f6896,plain,( 0.51/0.93 spl50_2 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_2])])). 0.51/0.93 fof(f8331,plain,( 0.51/0.93 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G) | ~spl50_2), 0.51/0.93 inference(resolution,[],[f6035,f6897])). 0.51/0.93 fof(f6897,plain,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)) | ~spl50_2), 0.51/0.93 inference(avatar_component_clause,[],[f6896])). 0.51/0.93 fof(f6035,plain,( 0.51/0.93 ( ! [X2,X0,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) | c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)) )), 0.51/0.93 inference(cnf_transformation,[],[f5718])). 0.51/0.93 fof(f5718,plain,( 0.51/0.93 ! [X0,X1,X2] : (c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)))), 0.51/0.93 inference(ennf_transformation,[],[f5252])). 0.51/0.93 fof(f5252,plain,( 0.51/0.93 ! [X0,X1,X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) => c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1))), 0.51/0.93 inference(rectify,[],[f4610])). 0.51/0.93 fof(f4610,axiom,( 0.51/0.93 ! [X87,X153,X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X153),X87)) => c_Hoare__Mirabelle_Ohoare__derivs(X2,X87,X153))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_asm)). 0.51/0.93 fof(f8318,plain,( 0.51/0.93 spl50_72 | spl50_237), 0.51/0.93 inference(avatar_split_clause,[],[f8317,f8263,f7250])). 0.51/0.93 fof(f8263,plain,( 0.51/0.93 spl50_237 <=> ~sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_237])])). 0.51/0.93 fof(f8317,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Nat_OSuc,X0)) | ~hBOOL(X0)) ) | ~spl50_237), 0.51/0.93 inference(resolution,[],[f8264,f7892])). 0.51/0.93 fof(f8264,plain,( 0.51/0.93 ~sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc) | ~spl50_237), 0.51/0.93 inference(avatar_component_clause,[],[f8263])). 0.51/0.93 fof(f8316,plain,( 0.51/0.93 ~spl50_47 | spl50_228 | spl50_41), 0.51/0.93 inference(avatar_split_clause,[],[f8199,f7052,f8241,f7153])). 0.51/0.93 fof(f8199,plain,( 0.51/0.93 sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_41), 0.51/0.93 inference(resolution,[],[f7892,f7053])). 0.51/0.93 fof(f8315,plain,( 0.51/0.93 ~spl50_47 | spl50_252), 0.51/0.93 inference(avatar_split_clause,[],[f8206,f8313,f7153])). 0.51/0.93 fof(f8313,plain,( 0.51/0.93 spl50_252 <=> ! [X19] : sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X19))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_252])])). 0.51/0.93 fof(f8206,plain,( 0.51/0.93 ( ! [X19] : (sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X19)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(resolution,[],[f7892,f6248])). 0.51/0.93 fof(f8311,plain,( 0.51/0.93 spl50_250 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f8215,f7150,f8309])). 0.51/0.93 fof(f8309,plain,( 0.51/0.93 spl50_250 <=> ! [X2] : (sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_250])])). 0.51/0.93 fof(f8215,plain,( 0.51/0.93 ( ! [X2] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2)) )), 0.51/0.93 inference(superposition,[],[f7892,f6450])). 0.51/0.93 fof(f8307,plain,( 0.51/0.93 spl50_62 | spl50_248 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f8216,f7150,f8305,f7224])). 0.51/0.93 fof(f8305,plain,( 0.51/0.93 spl50_248 <=> sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_248])])). 0.51/0.93 fof(f8216,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) )), 0.51/0.93 inference(superposition,[],[f7892,f6449])). 0.51/0.93 fof(f8300,plain,( 0.51/0.93 spl50_62 | spl50_246 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f8222,f7150,f8298,f7224])). 0.51/0.93 fof(f8298,plain,( 0.51/0.93 spl50_246 <=> sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_246])])). 0.51/0.93 fof(f8222,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) )), 0.51/0.93 inference(superposition,[],[f7892,f6708])). 0.51/0.93 fof(f8293,plain,( 0.51/0.93 ~spl50_47 | spl50_236 | ~spl50_24 | spl50_55), 0.51/0.93 inference(avatar_split_clause,[],[f8260,f7171,f6975,f8266,f7153])). 0.51/0.93 fof(f8266,plain,( 0.51/0.93 spl50_236 <=> sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_236])])). 0.51/0.93 fof(f8260,plain,( 0.51/0.93 sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_24 | ~spl50_55)), 0.51/0.93 inference(subsumption_resolution,[],[f8228,f7172])). 0.51/0.93 fof(f8228,plain,( 0.51/0.93 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f7892,f6976])). 0.51/0.93 fof(f8292,plain,( 0.51/0.93 ~spl50_47 | spl50_244), 0.51/0.93 inference(avatar_split_clause,[],[f8229,f8290,f7153])). 0.51/0.93 fof(f8290,plain,( 0.51/0.93 spl50_244 <=> ! [X15] : (hBOOL(X15) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_244])])). 0.51/0.93 fof(f8229,plain,( 0.51/0.93 ( ! [X15] : (hBOOL(X15) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7892,f6451])). 0.51/0.93 fof(f8288,plain,( 0.51/0.93 ~spl50_47 | spl50_242), 0.51/0.93 inference(avatar_split_clause,[],[f8230,f8286,f7153])). 0.51/0.93 fof(f8286,plain,( 0.51/0.93 spl50_242 <=> ! [X16] : (hBOOL(X16) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_242])])). 0.51/0.93 fof(f8230,plain,( 0.51/0.93 ( ! [X16] : (hBOOL(X16) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7892,f6531])). 0.51/0.93 fof(f8284,plain,( 0.51/0.93 ~spl50_47 | spl50_238 | ~spl50_42 | spl50_61), 0.51/0.93 inference(avatar_split_clause,[],[f8271,f7185,f7090,f8277,f7153])). 0.51/0.93 fof(f8277,plain,( 0.51/0.93 spl50_238 <=> sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_238])])). 0.51/0.93 fof(f8271,plain,( 0.51/0.93 sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_42 | ~spl50_61)), 0.51/0.93 inference(subsumption_resolution,[],[f8232,f7186])). 0.51/0.93 fof(f8232,plain,( 0.51/0.93 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f7892,f7091])). 0.51/0.93 fof(f8283,plain,( 0.51/0.93 spl50_240 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f8234,f7150,f8281])). 0.51/0.93 fof(f8234,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) )), 0.51/0.93 inference(superposition,[],[f7892,f6061])). 0.51/0.93 fof(f8279,plain,( 0.51/0.93 spl50_238 | ~spl50_42 | ~spl50_46 | spl50_61), 0.51/0.93 inference(avatar_split_clause,[],[f8272,f7185,f7150,f7090,f8277])). 0.51/0.93 fof(f8272,plain,( 0.51/0.93 sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | (~spl50_42 | ~spl50_46 | ~spl50_61)), 0.51/0.93 inference(subsumption_resolution,[],[f8271,f7151])). 0.51/0.93 fof(f7151,plain,( 0.51/0.93 hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_46), 0.51/0.93 inference(avatar_component_clause,[],[f7150])). 0.51/0.93 fof(f8268,plain,( 0.51/0.93 spl50_236 | ~spl50_24 | ~spl50_46 | spl50_55), 0.51/0.93 inference(avatar_split_clause,[],[f8261,f7171,f7150,f6975,f8266])). 0.51/0.93 fof(f8261,plain,( 0.51/0.93 sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc) | (~spl50_24 | ~spl50_46 | ~spl50_55)), 0.51/0.93 inference(subsumption_resolution,[],[f8260,f7151])). 0.51/0.93 fof(f8259,plain,( 0.51/0.93 spl50_234 | spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f8219,f7250,f8257])). 0.51/0.93 fof(f8257,plain,( 0.51/0.93 spl50_234 <=> sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_234])])). 0.51/0.93 fof(f8219,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(X6)) )), 0.51/0.93 inference(superposition,[],[f7892,f6634])). 0.51/0.93 fof(f8252,plain,( 0.51/0.93 spl50_62 | spl50_232), 0.51/0.93 inference(avatar_split_clause,[],[f8212,f8250,f7224])). 0.51/0.93 fof(f8250,plain,( 0.51/0.93 spl50_232 <=> ! [X30] : sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Obot__class_Obot(tc_fun(X30,tc_HOL_Obool)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_232])])). 0.51/0.93 fof(f8212,plain,( 0.51/0.93 ( ! [X30,X31] : (sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Obot__class_Obot(tc_fun(X30,tc_HOL_Obool))) | ~hBOOL(X31)) )), 0.51/0.93 inference(resolution,[],[f7892,f7079])). 0.51/0.93 fof(f8248,plain,( 0.51/0.93 spl50_62 | spl50_230), 0.51/0.93 inference(avatar_split_clause,[],[f8209,f8246,f7224])). 0.51/0.93 fof(f8209,plain,( 0.51/0.93 ( ! [X26,X24,X27,X25] : (sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X24,tc_fun(X25,tc_HOL_Obool))),X26)) | ~hBOOL(X27)) )), 0.51/0.93 inference(resolution,[],[f7892,f6040])). 0.51/0.93 fof(f8243,plain,( 0.51/0.93 spl50_228 | spl50_41 | ~spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f8236,f7150,f7052,f8241])). 0.51/0.93 fof(f8236,plain,( 0.51/0.93 sP49(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_41 | ~spl50_46)), 0.51/0.93 inference(subsumption_resolution,[],[f8199,f7151])). 0.51/0.93 fof(f8190,plain,( 0.51/0.93 ~spl50_227 | ~spl50_2), 0.51/0.93 inference(avatar_split_clause,[],[f8180,f6896,f8188])). 0.51/0.93 fof(f8188,plain,( 0.51/0.93 spl50_227 <=> ~sP49(v_G,v_Ga)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_227])])). 0.51/0.93 fof(f8180,plain,( 0.51/0.93 ~sP49(v_G,v_Ga) | ~spl50_2), 0.51/0.93 inference(resolution,[],[f6881,f6897])). 0.51/0.93 fof(f8167,plain,( 0.51/0.93 ~spl50_225 | ~spl50_2), 0.51/0.93 inference(avatar_split_clause,[],[f8157,f6896,f8165])). 0.51/0.93 fof(f8165,plain,( 0.51/0.93 spl50_225 <=> ~sP48(v_G,v_Ga)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_225])])). 0.51/0.93 fof(f8157,plain,( 0.51/0.93 ~sP48(v_G,v_Ga) | ~spl50_2), 0.51/0.93 inference(resolution,[],[f6879,f6897])). 0.51/0.93 fof(f8143,plain,( 0.51/0.93 spl50_78 | spl50_169), 0.51/0.93 inference(avatar_split_clause,[],[f8142,f7983,f7268])). 0.51/0.93 fof(f8142,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0)) | ~hBOOL(hAPP(c_Nat_OSuc,X0))) ) | ~spl50_169), 0.51/0.93 inference(superposition,[],[f8123,f6632])). 0.51/0.93 fof(f8138,plain,( 0.51/0.93 spl50_184 | ~spl50_42 | ~spl50_182), 0.51/0.93 inference(avatar_split_clause,[],[f8137,f8025,f7090,f8032])). 0.51/0.93 fof(f8032,plain,( 0.51/0.93 spl50_184 <=> sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_184])])). 0.51/0.93 fof(f8025,plain,( 0.51/0.93 spl50_182 <=> ! [X13] : sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X13))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_182])])). 0.51/0.93 fof(f8137,plain,( 0.51/0.93 sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_42 | ~spl50_182)), 0.51/0.93 inference(superposition,[],[f8026,f7091])). 0.51/0.93 fof(f8026,plain,( 0.51/0.93 ( ! [X13] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X13))) ) | ~spl50_182), 0.51/0.93 inference(avatar_component_clause,[],[f8025])). 0.51/0.93 fof(f8136,plain,( 0.51/0.93 spl50_126 | ~spl50_42 | ~spl50_124), 0.51/0.93 inference(avatar_split_clause,[],[f8135,f7508,f7090,f7515])). 0.51/0.93 fof(f7515,plain,( 0.51/0.93 spl50_126 <=> sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_126])])). 0.51/0.93 fof(f7508,plain,( 0.51/0.93 spl50_124 <=> ! [X4] : sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_124])])). 0.51/0.93 fof(f8135,plain,( 0.51/0.93 sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_42 | ~spl50_124)), 0.51/0.93 inference(superposition,[],[f7509,f7091])). 0.51/0.93 fof(f7509,plain,( 0.51/0.93 ( ! [X4] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4))) ) | ~spl50_124), 0.51/0.93 inference(avatar_component_clause,[],[f7508])). 0.51/0.93 fof(f8134,plain,( 0.51/0.93 spl50_112 | ~spl50_42 | ~spl50_110), 0.51/0.93 inference(avatar_split_clause,[],[f8133,f7469,f7090,f7476])). 0.51/0.93 fof(f7476,plain,( 0.51/0.93 spl50_112 <=> sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_112])])). 0.51/0.93 fof(f7469,plain,( 0.51/0.93 spl50_110 <=> ! [X4] : sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_110])])). 0.51/0.93 fof(f8133,plain,( 0.51/0.93 sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | (~spl50_42 | ~spl50_110)), 0.51/0.93 inference(superposition,[],[f7470,f7091])). 0.51/0.93 fof(f7470,plain,( 0.51/0.93 ( ! [X4] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4))) ) | ~spl50_110), 0.51/0.93 inference(avatar_component_clause,[],[f7469])). 0.51/0.93 fof(f8132,plain,( 0.51/0.93 ~spl50_24 | ~spl50_46 | spl50_55 | ~spl50_72), 0.51/0.93 inference(avatar_contradiction_clause,[],[f8131])). 0.51/0.93 fof(f8131,plain,( 0.51/0.93 $false | (~spl50_24 | ~spl50_46 | ~spl50_55 | ~spl50_72)), 0.51/0.93 inference(subsumption_resolution,[],[f8130,f7151])). 0.51/0.93 fof(f8130,plain,( 0.51/0.93 ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_24 | ~spl50_55 | ~spl50_72)), 0.51/0.93 inference(subsumption_resolution,[],[f8129,f7172])). 0.51/0.93 fof(f8129,plain,( 0.51/0.93 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_24 | ~spl50_72)), 0.51/0.93 inference(superposition,[],[f7251,f6976])). 0.51/0.93 fof(f8122,plain,( 0.51/0.93 spl50_58 | ~spl50_61 | ~spl50_42), 0.51/0.93 inference(avatar_split_clause,[],[f7600,f7090,f7185,f7179])). 0.51/0.93 fof(f7600,plain,( 0.51/0.93 ( ! [X37] : (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | hBOOL(hAPP(X37,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X37)) ) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f6878,f7091])). 0.51/0.93 fof(f8121,plain,( 0.51/0.93 spl50_222 | ~spl50_61 | ~spl50_42), 0.51/0.93 inference(avatar_split_clause,[],[f7910,f7090,f7185,f8119])). 0.51/0.93 fof(f8119,plain,( 0.51/0.93 spl50_222 <=> ! [X37] : (hBOOL(hAPP(X37,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X37))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_222])])). 0.51/0.93 fof(f7910,plain,( 0.51/0.93 ( ! [X37] : (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | hBOOL(hAPP(X37,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP49(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X37)) ) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f6880,f7091])). 0.51/0.93 fof(f8117,plain,( 0.51/0.93 ~spl50_47 | spl50_172 | spl50_60 | ~spl50_42), 0.51/0.93 inference(avatar_split_clause,[],[f7947,f7090,f7182,f7999,f7153])). 0.51/0.93 fof(f7999,plain,( 0.51/0.93 spl50_172 <=> sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_172])])). 0.51/0.93 fof(f7182,plain,( 0.51/0.93 spl50_60 <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_60])])). 0.51/0.93 fof(f7947,plain,( 0.51/0.93 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f7891,f7091])). 0.51/0.93 fof(f8116,plain,( 0.51/0.93 ~spl50_55 | spl50_220), 0.51/0.93 inference(avatar_split_clause,[],[f7213,f8111,f7171])). 0.51/0.93 fof(f7213,plain,( 0.51/0.93 ( ! [X11] : (hBOOL(X11) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6742])). 0.51/0.93 fof(f8115,plain,( 0.51/0.93 ~spl50_55 | spl50_218), 0.51/0.93 inference(avatar_split_clause,[],[f7215,f8107,f7171])). 0.51/0.93 fof(f7215,plain,( 0.51/0.93 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6633])). 0.51/0.93 fof(f8114,plain,( 0.51/0.93 ~spl50_55 | spl50_216), 0.51/0.93 inference(avatar_split_clause,[],[f7216,f8103,f7171])). 0.51/0.93 fof(f7216,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6635])). 0.51/0.93 fof(f8113,plain,( 0.51/0.93 ~spl50_55 | spl50_220), 0.51/0.93 inference(avatar_split_clause,[],[f7357,f8111,f7171])). 0.51/0.93 fof(f7357,plain,( 0.51/0.93 ( ! [X11] : (hBOOL(X11) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6742])). 0.51/0.93 fof(f8109,plain,( 0.51/0.93 ~spl50_55 | spl50_218), 0.51/0.93 inference(avatar_split_clause,[],[f7359,f8107,f7171])). 0.51/0.93 fof(f7359,plain,( 0.51/0.93 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6633])). 0.51/0.93 fof(f8105,plain,( 0.51/0.93 ~spl50_55 | spl50_216), 0.51/0.93 inference(avatar_split_clause,[],[f7360,f8103,f7171])). 0.51/0.93 fof(f7360,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6635])). 0.51/0.93 fof(f8101,plain,( 0.51/0.93 ~spl50_55 | spl50_214), 0.51/0.93 inference(avatar_split_clause,[],[f7389,f8099,f7171])). 0.51/0.93 fof(f7389,plain,( 0.51/0.93 ( ! [X11] : (hBOOL(X11) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7126,f6742])). 0.51/0.93 fof(f8097,plain,( 0.51/0.93 ~spl50_55 | spl50_212), 0.51/0.93 inference(avatar_split_clause,[],[f7391,f8095,f7171])). 0.51/0.93 fof(f7391,plain,( 0.51/0.93 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7126,f6633])). 0.51/0.93 fof(f8093,plain,( 0.51/0.93 ~spl50_55 | spl50_210), 0.51/0.93 inference(avatar_split_clause,[],[f7392,f8091,f7171])). 0.51/0.93 fof(f7392,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7126,f6635])). 0.51/0.93 fof(f8089,plain,( 0.51/0.93 spl50_52 | ~spl50_55 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f7596,f6975,f7171,f7165])). 0.51/0.93 fof(f7596,plain,( 0.51/0.93 ( ! [X30] : (~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(X30,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(c_Nat_OSuc,X30)) ) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f6878,f6976])). 0.51/0.93 fof(f8088,plain,( 0.51/0.93 spl50_208 | ~spl50_55 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f7906,f6975,f7171,f8086])). 0.51/0.93 fof(f7906,plain,( 0.51/0.93 ( ! [X30] : (~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(X30,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP49(c_Nat_OSuc,X30)) ) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f6880,f6976])). 0.51/0.93 fof(f8084,plain,( 0.51/0.93 ~spl50_55 | spl50_206), 0.51/0.93 inference(avatar_split_clause,[],[f7939,f8082,f7171])). 0.51/0.93 fof(f7939,plain,( 0.51/0.93 ( ! [X11] : (hBOOL(X11) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7891,f6742])). 0.51/0.93 fof(f8080,plain,( 0.51/0.93 ~spl50_55 | spl50_204), 0.51/0.93 inference(avatar_split_clause,[],[f7941,f8078,f7171])). 0.51/0.93 fof(f7941,plain,( 0.51/0.93 ( ! [X13] : (hBOOL(hAPP(c_Nat_OSuc,X13)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7891,f6633])). 0.51/0.93 fof(f8076,plain,( 0.51/0.93 ~spl50_55 | spl50_202), 0.51/0.93 inference(avatar_split_clause,[],[f7942,f8074,f7171])). 0.51/0.93 fof(f7942,plain,( 0.51/0.93 ( ! [X14] : (hBOOL(X14) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,X14))) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7891,f6635])). 0.51/0.93 fof(f8072,plain,( 0.51/0.93 ~spl50_47 | spl50_178 | spl50_54 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f7943,f6975,f7168,f8015,f7153])). 0.51/0.93 fof(f8015,plain,( 0.51/0.93 spl50_178 <=> sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_OSuc)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_178])])). 0.51/0.93 fof(f7943,plain,( 0.51/0.93 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f7891,f6976])). 0.51/0.93 fof(f8071,plain,( 0.51/0.93 ~spl50_47 | spl50_112 | ~spl50_42), 0.51/0.93 inference(avatar_split_clause,[],[f7549,f7090,f7476,f7153])). 0.51/0.93 fof(f7549,plain,( 0.51/0.93 sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f7370,f7091])). 0.51/0.93 fof(f7370,plain,( 0.51/0.93 ( ! [X2] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2)) | ~hBOOL(X2)) )), 0.51/0.93 inference(resolution,[],[f7126,f6251])). 0.51/0.93 fof(f8070,plain,( 0.51/0.93 spl50_200 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7551,f7150,f8068])). 0.51/0.93 fof(f7551,plain,( 0.51/0.93 ( ! [X2,X0,X3,X1] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X0))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X0,X1,X2,X3))) )), 0.51/0.93 inference(superposition,[],[f7126,f6061])). 0.51/0.93 fof(f8066,plain,( 0.51/0.93 spl50_198 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7552,f7150,f8064])). 0.51/0.93 fof(f7552,plain,( 0.51/0.93 ( ! [X6,X4,X7,X5] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X4))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X4,X5,X6,X7))) )), 0.51/0.93 inference(superposition,[],[f7125,f6061])). 0.51/0.93 fof(f8062,plain,( 0.51/0.93 spl50_44 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7583,f7153,f7147])). 0.51/0.93 fof(f7147,plain,( 0.51/0.93 spl50_44 <=> ! [X5,X4] : (hBOOL(hAPP(X5,X4)) | sP48(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),X5))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_44])])). 0.51/0.93 fof(f7583,plain,( 0.51/0.93 ( ! [X4,X5] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X5,X4)) | sP48(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),X5)) )), 0.51/0.93 inference(superposition,[],[f6878,f6450])). 0.51/0.93 fof(f8061,plain,( 0.51/0.93 spl50_48 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7584,f7153,f7157])). 0.51/0.93 fof(f7157,plain,( 0.51/0.93 spl50_48 <=> ! [X7,X6] : (hBOOL(hAPP(X7,X6)) | sP48(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X7))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_48])])). 0.51/0.93 fof(f7584,plain,( 0.51/0.93 ( ! [X6,X7] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X7,X6)) | sP48(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X7)) )), 0.51/0.93 inference(superposition,[],[f6878,f6449])). 0.51/0.93 fof(f8060,plain,( 0.51/0.93 spl50_50 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7590,f7153,f7161])). 0.51/0.93 fof(f7161,plain,( 0.51/0.93 spl50_50 <=> ! [X18,X19] : (hBOOL(hAPP(X19,X18)) | sP48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X19))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_50])])). 0.51/0.93 fof(f7590,plain,( 0.51/0.93 ( ! [X19,X18] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X19,X18)) | sP48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X19)) )), 0.51/0.93 inference(superposition,[],[f6878,f6708])). 0.51/0.93 fof(f8059,plain,( 0.51/0.93 spl50_56 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7599,f7153,f7175])). 0.51/0.93 fof(f7175,plain,( 0.51/0.93 spl50_56 <=> ! [X36,X35] : (hBOOL(hAPP(X36,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X35),X36))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_56])])). 0.51/0.93 fof(f7599,plain,( 0.51/0.93 ( ! [X35,X36] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X36,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X35),X36)) )), 0.51/0.93 inference(superposition,[],[f6878,f6707])). 0.51/0.93 fof(f8058,plain,( 0.51/0.93 spl50_196 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7602,f7153,f8056])). 0.51/0.93 fof(f8056,plain,( 0.51/0.93 spl50_196 <=> ! [X40,X42,X44,X41,X43] : (hBOOL(hAPP(X44,c_Hoare__Mirabelle_Otriple_Otriple(X40,X41,X42,X43))) | sP48(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X40)),X44))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_196])])). 0.51/0.93 fof(f7602,plain,( 0.51/0.93 ( ! [X43,X41,X44,X42,X40] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X44,c_Hoare__Mirabelle_Otriple_Otriple(X40,X41,X42,X43))) | sP48(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X40)),X44)) )), 0.51/0.93 inference(superposition,[],[f6878,f6061])). 0.51/0.93 fof(f8054,plain,( 0.51/0.93 spl50_194 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7893,f7153,f8052])). 0.51/0.93 fof(f8052,plain,( 0.51/0.93 spl50_194 <=> ! [X5,X4] : (hBOOL(hAPP(X5,X4)) | sP49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),X5))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_194])])). 0.51/0.93 fof(f7893,plain,( 0.51/0.93 ( ! [X4,X5] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X5,X4)) | sP49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),X5)) )), 0.51/0.93 inference(superposition,[],[f6880,f6450])). 0.51/0.93 fof(f8050,plain,( 0.51/0.93 spl50_192 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7894,f7153,f8048])). 0.51/0.93 fof(f8048,plain,( 0.51/0.93 spl50_192 <=> ! [X7,X6] : (hBOOL(hAPP(X7,X6)) | sP49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X7))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_192])])). 0.51/0.93 fof(f7894,plain,( 0.51/0.93 ( ! [X6,X7] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X7,X6)) | sP49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X7)) )), 0.51/0.93 inference(superposition,[],[f6880,f6449])). 0.51/0.93 fof(f8046,plain,( 0.51/0.93 spl50_190 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7900,f7153,f8044])). 0.51/0.93 fof(f8044,plain,( 0.51/0.93 spl50_190 <=> ! [X18,X19] : (hBOOL(hAPP(X19,X18)) | sP49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X19))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_190])])). 0.51/0.93 fof(f7900,plain,( 0.51/0.93 ( ! [X19,X18] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X19,X18)) | sP49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X19)) )), 0.51/0.93 inference(superposition,[],[f6880,f6708])). 0.51/0.93 fof(f8042,plain,( 0.51/0.93 spl50_188 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7909,f7153,f8040])). 0.51/0.93 fof(f8040,plain,( 0.51/0.93 spl50_188 <=> ! [X36,X35] : (hBOOL(hAPP(X36,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X35),X36))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_188])])). 0.51/0.93 fof(f7909,plain,( 0.51/0.93 ( ! [X35,X36] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X36,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X35),X36)) )), 0.51/0.93 inference(superposition,[],[f6880,f6707])). 0.51/0.93 fof(f8038,plain,( 0.51/0.93 spl50_186 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7912,f7153,f8036])). 0.51/0.93 fof(f8036,plain,( 0.51/0.93 spl50_186 <=> ! [X40,X42,X44,X41,X43] : (hBOOL(hAPP(X44,c_Hoare__Mirabelle_Otriple_Otriple(X40,X41,X42,X43))) | sP49(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X40)),X44))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_186])])). 0.51/0.93 fof(f7912,plain,( 0.51/0.93 ( ! [X43,X41,X44,X42,X40] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X44,c_Hoare__Mirabelle_Otriple_Otriple(X40,X41,X42,X43))) | sP49(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X40)),X44)) )), 0.51/0.93 inference(superposition,[],[f6880,f6061])). 0.51/0.93 fof(f8034,plain,( 0.51/0.93 ~spl50_47 | spl50_184 | spl50_41), 0.51/0.93 inference(avatar_split_clause,[],[f7916,f7052,f8032,f7153])). 0.51/0.93 fof(f7916,plain,( 0.51/0.93 sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_41), 0.51/0.93 inference(resolution,[],[f7891,f7053])). 0.51/0.93 fof(f8027,plain,( 0.51/0.93 ~spl50_47 | spl50_182), 0.51/0.93 inference(avatar_split_clause,[],[f7921,f8025,f7153])). 0.51/0.93 fof(f7921,plain,( 0.51/0.93 ( ! [X13] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X13)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(resolution,[],[f7891,f6248])). 0.51/0.93 fof(f8023,plain,( 0.51/0.93 spl50_180 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7930,f7150,f8021])). 0.51/0.93 fof(f8021,plain,( 0.51/0.93 spl50_180 <=> ! [X2] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_180])])). 0.51/0.93 fof(f7930,plain,( 0.51/0.93 ( ! [X2] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2)) )), 0.51/0.93 inference(superposition,[],[f7891,f6450])). 0.51/0.93 fof(f8019,plain,( 0.51/0.93 spl50_62 | spl50_162 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7931,f7150,f7964,f7224])). 0.51/0.93 fof(f7964,plain,( 0.51/0.93 spl50_162 <=> sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_162])])). 0.51/0.93 fof(f7931,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) )), 0.51/0.93 inference(superposition,[],[f7891,f6449])). 0.51/0.93 fof(f8018,plain,( 0.51/0.93 spl50_62 | spl50_166 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7937,f7150,f7979,f7224])). 0.51/0.93 fof(f7979,plain,( 0.51/0.93 spl50_166 <=> sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_166])])). 0.51/0.93 fof(f7937,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) )), 0.51/0.93 inference(superposition,[],[f7891,f6708])). 0.51/0.93 fof(f8017,plain,( 0.51/0.93 ~spl50_47 | spl50_178 | ~spl50_24 | spl50_55), 0.51/0.93 inference(avatar_split_clause,[],[f8010,f7171,f6975,f8015,f7153])). 0.51/0.93 fof(f8010,plain,( 0.51/0.93 sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_24 | ~spl50_55)), 0.51/0.93 inference(subsumption_resolution,[],[f7943,f7172])). 0.51/0.93 fof(f8009,plain,( 0.51/0.93 ~spl50_47 | spl50_176), 0.51/0.93 inference(avatar_split_clause,[],[f7944,f8007,f7153])). 0.51/0.93 fof(f8007,plain,( 0.51/0.93 spl50_176 <=> ! [X15] : (hBOOL(X15) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_176])])). 0.51/0.93 fof(f7944,plain,( 0.51/0.93 ( ! [X15] : (hBOOL(X15) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7891,f6451])). 0.51/0.93 fof(f8005,plain,( 0.51/0.93 ~spl50_47 | spl50_174), 0.51/0.93 inference(avatar_split_clause,[],[f7945,f8003,f7153])). 0.51/0.93 fof(f8003,plain,( 0.51/0.93 spl50_174 <=> ! [X16] : (hBOOL(X16) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_174])])). 0.51/0.93 fof(f7945,plain,( 0.51/0.93 ( ! [X16] : (hBOOL(X16) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7891,f6531])). 0.51/0.93 fof(f8001,plain,( 0.51/0.93 ~spl50_47 | spl50_172 | ~spl50_42 | spl50_61), 0.51/0.93 inference(avatar_split_clause,[],[f7994,f7185,f7090,f7999,f7153])). 0.51/0.93 fof(f7994,plain,( 0.51/0.93 sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_42 | ~spl50_61)), 0.51/0.93 inference(subsumption_resolution,[],[f7947,f7186])). 0.51/0.93 fof(f7993,plain,( 0.51/0.93 spl50_170 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7949,f7150,f7991])). 0.51/0.93 fof(f7949,plain,( 0.51/0.93 ( ! [X21,X19,X22,X20] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(X19))) | ~hBOOL(c_Hoare__Mirabelle_Otriple_Otriple(X19,X20,X21,X22))) )), 0.51/0.93 inference(superposition,[],[f7891,f6061])). 0.51/0.93 fof(f7988,plain,( 0.51/0.93 spl50_168 | spl50_78), 0.51/0.93 inference(avatar_split_clause,[],[f7938,f7268,f7986])). 0.51/0.93 fof(f7986,plain,( 0.51/0.93 spl50_168 <=> sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_168])])). 0.51/0.93 fof(f7938,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~hBOOL(hAPP(c_Nat_OSuc,X10))) )), 0.51/0.93 inference(superposition,[],[f7891,f6632])). 0.51/0.93 fof(f7981,plain,( 0.51/0.93 spl50_62 | spl50_166 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7974,f7153,f7979,f7224])). 0.51/0.93 fof(f7974,plain,( 0.51/0.93 ( ! [X9] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f7937,f7154])). 0.51/0.93 fof(f7973,plain,( 0.51/0.93 spl50_164 | spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f7934,f7250,f7971])). 0.51/0.93 fof(f7971,plain,( 0.51/0.93 spl50_164 <=> sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_164])])). 0.51/0.93 fof(f7934,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(X6)) )), 0.51/0.93 inference(superposition,[],[f7891,f6634])). 0.51/0.93 fof(f7966,plain,( 0.51/0.93 spl50_62 | spl50_162 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7959,f7153,f7964,f7224])). 0.51/0.93 fof(f7959,plain,( 0.51/0.93 ( ! [X3] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f7931,f7154])). 0.51/0.93 fof(f7957,plain,( 0.51/0.93 spl50_62 | spl50_160), 0.51/0.93 inference(avatar_split_clause,[],[f7927,f7955,f7224])). 0.51/0.93 fof(f7955,plain,( 0.51/0.93 spl50_160 <=> ! [X24] : sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X24,tc_HOL_Obool)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_160])])). 0.51/0.93 fof(f7927,plain,( 0.51/0.93 ( ! [X24,X25] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X24,tc_HOL_Obool))) | ~hBOOL(X25)) )), 0.51/0.93 inference(resolution,[],[f7891,f7079])). 0.51/0.93 fof(f7953,plain,( 0.51/0.93 spl50_62 | spl50_158), 0.51/0.93 inference(avatar_split_clause,[],[f7924,f7951,f7224])). 0.51/0.93 fof(f7924,plain,( 0.51/0.93 ( ! [X21,X19,X20,X18] : (sP49(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X18,tc_fun(X19,tc_HOL_Obool))),X20)) | ~hBOOL(X21)) )), 0.51/0.93 inference(resolution,[],[f7891,f6040])). 0.51/0.93 fof(f7870,plain,( 0.51/0.93 spl50_78 | spl50_115 | spl50_157), 0.51/0.93 inference(avatar_split_clause,[],[f7869,f7800,f7481,f7268])). 0.51/0.93 fof(f7481,plain,( 0.51/0.93 spl50_115 <=> ~sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_115])])). 0.51/0.93 fof(f7800,plain,( 0.51/0.93 spl50_157 <=> ~sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_157])])). 0.51/0.93 fof(f7869,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | ~hBOOL(hAPP(c_Nat_OSuc,X10))) ) | (~spl50_115 | ~spl50_157)), 0.51/0.93 inference(subsumption_resolution,[],[f7838,f7801])). 0.51/0.93 fof(f7801,plain,( 0.51/0.93 ~sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~spl50_157), 0.51/0.93 inference(avatar_component_clause,[],[f7800])). 0.51/0.93 fof(f7838,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~hBOOL(hAPP(c_Nat_OSuc,X10))) ) | ~spl50_115), 0.51/0.93 inference(superposition,[],[f7809,f6632])). 0.51/0.93 fof(f7809,plain,( 0.51/0.93 ( ! [X0,X1] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1) | hBOOL(hAPP(X1,X0)) | ~hBOOL(X0)) ) | ~spl50_115), 0.51/0.93 inference(resolution,[],[f7534,f6878])). 0.51/0.93 fof(f7534,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0)) | ~hBOOL(X0)) ) | ~spl50_115), 0.51/0.93 inference(resolution,[],[f7482,f7125])). 0.51/0.93 fof(f7482,plain,( 0.51/0.93 ~sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~spl50_115), 0.51/0.93 inference(avatar_component_clause,[],[f7481])). 0.51/0.93 fof(f7868,plain,( 0.51/0.93 spl50_62 | spl50_47 | spl50_115 | spl50_155), 0.51/0.93 inference(avatar_split_clause,[],[f7867,f7793,f7481,f7153,f7224])). 0.51/0.93 fof(f7867,plain,( 0.51/0.93 ( ! [X9] : (~hBOOL(X9)) ) | (~spl50_47 | ~spl50_115 | ~spl50_155)), 0.51/0.93 inference(subsumption_resolution,[],[f7866,f7794])). 0.51/0.93 fof(f7866,plain,( 0.51/0.93 ( ! [X9] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | (~spl50_47 | ~spl50_115)), 0.51/0.93 inference(subsumption_resolution,[],[f7837,f7154])). 0.51/0.93 fof(f7837,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | ~spl50_115), 0.51/0.93 inference(superposition,[],[f7809,f6708])). 0.51/0.93 fof(f7865,plain,( 0.51/0.93 spl50_72 | spl50_115 | spl50_153), 0.51/0.93 inference(avatar_split_clause,[],[f7864,f7785,f7481,f7250])). 0.51/0.93 fof(f7864,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | ~hBOOL(X6)) ) | (~spl50_115 | ~spl50_153)), 0.51/0.93 inference(subsumption_resolution,[],[f7834,f7786])). 0.51/0.93 fof(f7834,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(X6)) ) | ~spl50_115), 0.51/0.93 inference(superposition,[],[f7809,f6634])). 0.51/0.93 fof(f7863,plain,( 0.51/0.93 spl50_62 | spl50_47 | spl50_115 | spl50_151), 0.51/0.93 inference(avatar_split_clause,[],[f7862,f7778,f7481,f7153,f7224])). 0.51/0.93 fof(f7862,plain,( 0.51/0.93 ( ! [X3] : (~hBOOL(X3)) ) | (~spl50_47 | ~spl50_115 | ~spl50_151)), 0.51/0.93 inference(subsumption_resolution,[],[f7861,f7779])). 0.51/0.93 fof(f7861,plain,( 0.51/0.93 ( ! [X3] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | (~spl50_47 | ~spl50_115)), 0.51/0.93 inference(subsumption_resolution,[],[f7831,f7154])). 0.51/0.93 fof(f7831,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | ~spl50_115), 0.51/0.93 inference(superposition,[],[f7809,f6449])). 0.51/0.93 fof(f7859,plain,( 0.51/0.93 spl50_62 | spl50_148 | spl50_115), 0.51/0.93 inference(avatar_split_clause,[],[f7827,f7481,f7772,f7224])). 0.51/0.93 fof(f7827,plain,( 0.51/0.93 ( ! [X21,X22] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool))) | ~hBOOL(X22)) ) | ~spl50_115), 0.51/0.93 inference(resolution,[],[f7809,f7079])). 0.51/0.93 fof(f7858,plain,( 0.51/0.93 spl50_62 | spl50_146 | spl50_115), 0.51/0.93 inference(avatar_split_clause,[],[f7824,f7481,f7768,f7224])). 0.51/0.93 fof(f7824,plain,( 0.51/0.93 ( ! [X17,X15,X18,X16] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X15,tc_fun(X16,tc_HOL_Obool))),X17)) | ~hBOOL(X18)) ) | ~spl50_115), 0.51/0.93 inference(resolution,[],[f7809,f6040])). 0.51/0.93 fof(f7857,plain,( 0.51/0.93 spl50_62 | spl50_47 | spl50_115 | spl50_155), 0.51/0.93 inference(avatar_split_clause,[],[f7856,f7793,f7481,f7153,f7224])). 0.51/0.93 fof(f7856,plain,( 0.51/0.93 ( ! [X2] : (~hBOOL(X2)) ) | (~spl50_47 | ~spl50_115 | ~spl50_155)), 0.51/0.93 inference(subsumption_resolution,[],[f7855,f7154])). 0.51/0.93 fof(f7855,plain,( 0.51/0.93 ( ! [X2] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(X2)) ) | (~spl50_115 | ~spl50_155)), 0.51/0.93 inference(forward_demodulation,[],[f7813,f6708])). 0.51/0.93 fof(f7813,plain,( 0.51/0.93 ( ! [X2] : (hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)) | ~hBOOL(X2)) ) | (~spl50_115 | ~spl50_155)), 0.51/0.93 inference(resolution,[],[f7809,f7794])). 0.51/0.93 fof(f7854,plain,( 0.51/0.93 spl50_62 | spl50_47 | spl50_115 | spl50_151), 0.51/0.93 inference(avatar_split_clause,[],[f7853,f7778,f7481,f7153,f7224])). 0.51/0.93 fof(f7853,plain,( 0.51/0.93 ( ! [X1] : (~hBOOL(X1)) ) | (~spl50_47 | ~spl50_115 | ~spl50_151)), 0.51/0.93 inference(subsumption_resolution,[],[f7852,f7154])). 0.51/0.93 fof(f7852,plain,( 0.51/0.93 ( ! [X1] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(X1)) ) | (~spl50_115 | ~spl50_151)), 0.51/0.93 inference(forward_demodulation,[],[f7812,f6449])). 0.51/0.93 fof(f7812,plain,( 0.51/0.93 ( ! [X1] : (hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)) | ~hBOOL(X1)) ) | (~spl50_115 | ~spl50_151)), 0.51/0.93 inference(resolution,[],[f7809,f7779])). 0.51/0.93 fof(f7851,plain,( 0.51/0.93 spl50_72 | spl50_115 | spl50_153), 0.51/0.93 inference(avatar_split_clause,[],[f7850,f7785,f7481,f7250])). 0.51/0.93 fof(f7850,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Nat_OSuc,X0)) | ~hBOOL(X0)) ) | (~spl50_115 | ~spl50_153)), 0.51/0.93 inference(forward_demodulation,[],[f7811,f6634])). 0.51/0.93 fof(f7811,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)) | ~hBOOL(X0)) ) | (~spl50_115 | ~spl50_153)), 0.51/0.93 inference(resolution,[],[f7809,f7786])). 0.51/0.93 fof(f7805,plain,( 0.51/0.93 spl50_156 | spl50_78 | spl50_101), 0.51/0.93 inference(avatar_split_clause,[],[f7755,f7440,f7268,f7803])). 0.51/0.93 fof(f7803,plain,( 0.51/0.93 spl50_156 <=> sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_156])])). 0.51/0.93 fof(f7440,plain,( 0.51/0.93 spl50_101 <=> ~sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_101])])). 0.51/0.93 fof(f7755,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~hBOOL(hAPP(c_Nat_OSuc,X10))) ) | ~spl50_101), 0.51/0.93 inference(superposition,[],[f7580,f6632])). 0.51/0.93 fof(f7580,plain,( 0.51/0.93 ( ! [X48,X49] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X48) | hBOOL(hAPP(X48,X49)) | ~hBOOL(X49)) ) | ~spl50_101), 0.51/0.93 inference(resolution,[],[f6878,f7533])). 0.51/0.93 fof(f7533,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0)) | ~hBOOL(X0)) ) | ~spl50_101), 0.51/0.93 inference(resolution,[],[f7441,f7126])). 0.51/0.93 fof(f7441,plain,( 0.51/0.93 ~sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~spl50_101), 0.51/0.93 inference(avatar_component_clause,[],[f7440])). 0.51/0.93 fof(f7798,plain,( 0.51/0.93 spl50_62 | spl50_154 | spl50_47 | spl50_101), 0.51/0.93 inference(avatar_split_clause,[],[f7791,f7440,f7153,f7796,f7224])). 0.51/0.93 fof(f7796,plain,( 0.51/0.93 spl50_154 <=> sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_154])])). 0.51/0.93 fof(f7791,plain,( 0.51/0.93 ( ! [X9] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | (~spl50_47 | ~spl50_101)), 0.51/0.93 inference(subsumption_resolution,[],[f7754,f7154])). 0.51/0.93 fof(f7754,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | ~spl50_101), 0.51/0.93 inference(superposition,[],[f7580,f6708])). 0.51/0.93 fof(f7790,plain,( 0.51/0.93 spl50_152 | spl50_72 | spl50_101), 0.51/0.93 inference(avatar_split_clause,[],[f7751,f7440,f7250,f7788])). 0.51/0.93 fof(f7788,plain,( 0.51/0.93 spl50_152 <=> sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_152])])). 0.51/0.93 fof(f7751,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(X6)) ) | ~spl50_101), 0.51/0.93 inference(superposition,[],[f7580,f6634])). 0.51/0.93 fof(f7783,plain,( 0.51/0.93 spl50_62 | spl50_150 | spl50_47 | spl50_101), 0.51/0.93 inference(avatar_split_clause,[],[f7776,f7440,f7153,f7781,f7224])). 0.51/0.93 fof(f7781,plain,( 0.51/0.93 spl50_150 <=> sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_150])])). 0.51/0.93 fof(f7776,plain,( 0.51/0.93 ( ! [X3] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | (~spl50_47 | ~spl50_101)), 0.51/0.93 inference(subsumption_resolution,[],[f7748,f7154])). 0.51/0.93 fof(f7748,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | ~spl50_101), 0.51/0.93 inference(superposition,[],[f7580,f6449])). 0.51/0.93 fof(f7774,plain,( 0.51/0.93 spl50_62 | spl50_148 | spl50_101), 0.51/0.93 inference(avatar_split_clause,[],[f7744,f7440,f7772,f7224])). 0.51/0.93 fof(f7744,plain,( 0.51/0.93 ( ! [X21,X22] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool))) | ~hBOOL(X22)) ) | ~spl50_101), 0.51/0.93 inference(resolution,[],[f7580,f7079])). 0.51/0.93 fof(f7770,plain,( 0.51/0.93 spl50_62 | spl50_146 | spl50_101), 0.51/0.93 inference(avatar_split_clause,[],[f7741,f7440,f7768,f7224])). 0.51/0.93 fof(f7741,plain,( 0.51/0.93 ( ! [X17,X15,X18,X16] : (sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X15,tc_fun(X16,tc_HOL_Obool))),X17)) | ~hBOOL(X18)) ) | ~spl50_101), 0.51/0.93 inference(resolution,[],[f7580,f6040])). 0.51/0.93 fof(f7730,plain,( 0.51/0.93 spl50_62 | spl50_144 | spl50_47 | spl50_99), 0.51/0.93 inference(avatar_split_clause,[],[f7723,f7432,f7153,f7728,f7224])). 0.51/0.93 fof(f7728,plain,( 0.51/0.93 spl50_144 <=> sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_144])])). 0.51/0.93 fof(f7432,plain,( 0.51/0.93 spl50_99 <=> ~sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_99])])). 0.51/0.93 fof(f7723,plain,( 0.51/0.93 ( ! [X9] : (sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | (~spl50_47 | ~spl50_99)), 0.51/0.93 inference(subsumption_resolution,[],[f7686,f7154])). 0.51/0.93 fof(f7686,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | ~spl50_99), 0.51/0.93 inference(superposition,[],[f7575,f6708])). 0.51/0.93 fof(f7575,plain,( 0.51/0.93 ( ! [X37,X38] : (sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X37) | hBOOL(hAPP(X37,X38)) | ~hBOOL(X38)) ) | ~spl50_99), 0.51/0.93 inference(resolution,[],[f6878,f7532])). 0.51/0.93 fof(f7532,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X0)) | ~hBOOL(X0)) ) | ~spl50_99), 0.51/0.93 inference(resolution,[],[f7433,f7126])). 0.51/0.93 fof(f7433,plain,( 0.51/0.93 ~sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~spl50_99), 0.51/0.93 inference(avatar_component_clause,[],[f7432])). 0.51/0.93 fof(f7722,plain,( 0.51/0.93 spl50_142 | spl50_72 | spl50_99), 0.51/0.93 inference(avatar_split_clause,[],[f7683,f7432,f7250,f7720])). 0.51/0.93 fof(f7720,plain,( 0.51/0.93 spl50_142 <=> sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_142])])). 0.51/0.93 fof(f7683,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(X6)) ) | ~spl50_99), 0.51/0.93 inference(superposition,[],[f7575,f6634])). 0.51/0.93 fof(f7715,plain,( 0.51/0.93 spl50_62 | spl50_140 | spl50_47 | spl50_99), 0.51/0.93 inference(avatar_split_clause,[],[f7708,f7432,f7153,f7713,f7224])). 0.51/0.93 fof(f7713,plain,( 0.51/0.93 spl50_140 <=> sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_140])])). 0.51/0.93 fof(f7708,plain,( 0.51/0.93 ( ! [X3] : (sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | (~spl50_47 | ~spl50_99)), 0.51/0.93 inference(subsumption_resolution,[],[f7680,f7154])). 0.51/0.93 fof(f7680,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | ~spl50_99), 0.51/0.93 inference(superposition,[],[f7575,f6449])). 0.51/0.93 fof(f7706,plain,( 0.51/0.93 spl50_62 | spl50_138 | spl50_99), 0.51/0.93 inference(avatar_split_clause,[],[f7676,f7432,f7704,f7224])). 0.51/0.93 fof(f7704,plain,( 0.51/0.93 spl50_138 <=> ! [X21] : sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_138])])). 0.51/0.93 fof(f7676,plain,( 0.51/0.93 ( ! [X21,X22] : (sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool))) | ~hBOOL(X22)) ) | ~spl50_99), 0.51/0.93 inference(resolution,[],[f7575,f7079])). 0.51/0.93 fof(f7702,plain,( 0.51/0.93 spl50_62 | spl50_136 | spl50_99), 0.51/0.93 inference(avatar_split_clause,[],[f7673,f7432,f7700,f7224])). 0.51/0.93 fof(f7700,plain,( 0.51/0.93 spl50_136 <=> ! [X16,X15,X17] : sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X15,tc_fun(X16,tc_HOL_Obool))),X17))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_136])])). 0.51/0.93 fof(f7673,plain,( 0.51/0.93 ( ! [X17,X15,X18,X16] : (sP48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X15,tc_fun(X16,tc_HOL_Obool))),X17)) | ~hBOOL(X18)) ) | ~spl50_99), 0.51/0.93 inference(resolution,[],[f7575,f6040])). 0.51/0.93 fof(f7662,plain,( 0.51/0.93 spl50_62 | spl50_134 | spl50_47 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f7655,f7250,f7153,f7660,f7224])). 0.51/0.93 fof(f7660,plain,( 0.51/0.93 spl50_134 <=> sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_134])])). 0.51/0.93 fof(f7655,plain,( 0.51/0.93 ( ! [X9] : (sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | (~spl50_47 | ~spl50_72)), 0.51/0.93 inference(subsumption_resolution,[],[f7625,f7154])). 0.51/0.93 fof(f7625,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_OSuc,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | ~spl50_72), 0.51/0.93 inference(superposition,[],[f7576,f6708])). 0.51/0.93 fof(f7576,plain,( 0.51/0.93 ( ! [X39,X40] : (hBOOL(hAPP(X39,X40)) | sP48(c_Nat_OSuc,X39) | ~hBOOL(X40)) ) | ~spl50_72), 0.51/0.93 inference(resolution,[],[f6878,f7251])). 0.51/0.93 fof(f7654,plain,( 0.51/0.93 spl50_62 | spl50_132 | spl50_47 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f7647,f7250,f7153,f7652,f7224])). 0.51/0.93 fof(f7652,plain,( 0.51/0.93 spl50_132 <=> sP48(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_132])])). 0.51/0.93 fof(f7647,plain,( 0.51/0.93 ( ! [X3] : (sP48(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | (~spl50_47 | ~spl50_72)), 0.51/0.93 inference(subsumption_resolution,[],[f7619,f7154])). 0.51/0.93 fof(f7619,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_OSuc,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | ~spl50_72), 0.51/0.93 inference(superposition,[],[f7576,f6449])). 0.51/0.93 fof(f7645,plain,( 0.51/0.93 spl50_62 | spl50_130 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f7615,f7250,f7643,f7224])). 0.51/0.93 fof(f7615,plain,( 0.51/0.93 ( ! [X21,X22] : (sP48(c_Nat_OSuc,c_Orderings_Obot__class_Obot(tc_fun(X21,tc_HOL_Obool))) | ~hBOOL(X22)) ) | ~spl50_72), 0.51/0.93 inference(resolution,[],[f7576,f7079])). 0.51/0.93 fof(f7641,plain,( 0.51/0.93 spl50_62 | spl50_128 | ~spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f7612,f7250,f7639,f7224])). 0.51/0.93 fof(f7612,plain,( 0.51/0.93 ( ! [X17,X15,X18,X16] : (sP48(c_Nat_OSuc,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X15,tc_fun(X16,tc_HOL_Obool))),X17)) | ~hBOOL(X18)) ) | ~spl50_72), 0.51/0.93 inference(resolution,[],[f7576,f6040])). 0.51/0.93 fof(f7540,plain,( 0.51/0.93 spl50_78 | spl50_99), 0.51/0.93 inference(avatar_split_clause,[],[f7539,f7432,f7268])). 0.51/0.93 fof(f7539,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0)) | ~hBOOL(hAPP(c_Nat_OSuc,X0))) ) | ~spl50_99), 0.51/0.93 inference(superposition,[],[f7532,f6632])). 0.51/0.93 fof(f7531,plain,( 0.51/0.93 spl50_72 | spl50_121), 0.51/0.93 inference(avatar_split_clause,[],[f7530,f7497,f7250])). 0.51/0.93 fof(f7497,plain,( 0.51/0.93 spl50_121 <=> ~sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_OSuc)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_121])])). 0.51/0.93 fof(f7530,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Nat_OSuc,X0)) | ~hBOOL(X0)) ) | ~spl50_121), 0.51/0.93 inference(resolution,[],[f7498,f7125])). 0.51/0.93 fof(f7498,plain,( 0.51/0.93 ~sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_OSuc) | ~spl50_121), 0.51/0.93 inference(avatar_component_clause,[],[f7497])). 0.51/0.93 fof(f7529,plain,( 0.51/0.93 spl50_72 | spl50_107), 0.51/0.93 inference(avatar_split_clause,[],[f7528,f7456,f7250])). 0.51/0.93 fof(f7456,plain,( 0.51/0.93 spl50_107 <=> ~sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_107])])). 0.51/0.93 fof(f7528,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Nat_OSuc,X0)) | ~hBOOL(X0)) ) | ~spl50_107), 0.51/0.93 inference(resolution,[],[f7457,f7126])). 0.51/0.93 fof(f7457,plain,( 0.51/0.93 ~sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc) | ~spl50_107), 0.51/0.93 inference(avatar_component_clause,[],[f7456])). 0.51/0.93 fof(f7527,plain,( 0.51/0.93 ~spl50_47 | spl50_126 | spl50_41), 0.51/0.93 inference(avatar_split_clause,[],[f7191,f7052,f7515,f7153])). 0.51/0.93 fof(f7191,plain,( 0.51/0.93 sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_41), 0.51/0.93 inference(resolution,[],[f7125,f7053])). 0.51/0.93 fof(f7526,plain,( 0.51/0.93 ~spl50_47 | spl50_124), 0.51/0.93 inference(avatar_split_clause,[],[f7196,f7508,f7153])). 0.51/0.93 fof(f7196,plain,( 0.51/0.93 ( ! [X10] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(resolution,[],[f7125,f6248])). 0.51/0.93 fof(f7525,plain,( 0.51/0.93 spl50_122 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7204,f7150,f7504])). 0.51/0.93 fof(f7504,plain,( 0.51/0.93 spl50_122 <=> ! [X2] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_122])])). 0.51/0.93 fof(f7204,plain,( 0.51/0.93 ( ! [X2] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2)) )), 0.51/0.93 inference(superposition,[],[f7125,f6450])). 0.51/0.93 fof(f7524,plain,( 0.51/0.93 ~spl50_47 | spl50_120 | ~spl50_24 | spl50_55), 0.51/0.93 inference(avatar_split_clause,[],[f7523,f7171,f6975,f7500,f7153])). 0.51/0.93 fof(f7500,plain,( 0.51/0.93 spl50_120 <=> sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_OSuc)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_120])])). 0.51/0.93 fof(f7523,plain,( 0.51/0.93 sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_24 | ~spl50_55)), 0.51/0.93 inference(subsumption_resolution,[],[f7217,f7172])). 0.51/0.93 fof(f7217,plain,( 0.51/0.93 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f7125,f6976])). 0.51/0.93 fof(f7522,plain,( 0.51/0.93 ~spl50_47 | spl50_118), 0.51/0.93 inference(avatar_split_clause,[],[f7218,f7492,f7153])). 0.51/0.93 fof(f7492,plain,( 0.51/0.93 spl50_118 <=> ! [X15] : (hBOOL(X15) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_118])])). 0.51/0.93 fof(f7218,plain,( 0.51/0.93 ( ! [X15] : (hBOOL(X15) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6451])). 0.51/0.93 fof(f7521,plain,( 0.51/0.93 ~spl50_47 | spl50_116), 0.51/0.93 inference(avatar_split_clause,[],[f7219,f7488,f7153])). 0.51/0.93 fof(f7488,plain,( 0.51/0.93 spl50_116 <=> ! [X16] : (hBOOL(X16) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_116])])). 0.51/0.93 fof(f7219,plain,( 0.51/0.93 ( ! [X16] : (hBOOL(X16) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6531])). 0.51/0.93 fof(f7520,plain,( 0.51/0.93 ~spl50_47 | spl50_114 | ~spl50_42 | spl50_61), 0.51/0.93 inference(avatar_split_clause,[],[f7519,f7185,f7090,f7484,f7153])). 0.51/0.93 fof(f7484,plain,( 0.51/0.93 spl50_114 <=> sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_114])])). 0.51/0.93 fof(f7519,plain,( 0.51/0.93 sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_42 | ~spl50_61)), 0.51/0.93 inference(subsumption_resolution,[],[f7221,f7186])). 0.51/0.93 fof(f7221,plain,( 0.51/0.93 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f7125,f7091])). 0.51/0.93 fof(f7518,plain,( 0.51/0.93 ~spl50_47 | spl50_126 | ~spl50_42), 0.51/0.93 inference(avatar_split_clause,[],[f7333,f7090,f7515,f7153])). 0.51/0.93 fof(f7333,plain,( 0.51/0.93 sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f7194,f7091])). 0.51/0.93 fof(f7194,plain,( 0.51/0.93 ( ! [X8] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X8)) | ~hBOOL(X8)) )), 0.51/0.93 inference(resolution,[],[f7125,f6251])). 0.51/0.93 fof(f7517,plain,( 0.51/0.93 ~spl50_47 | spl50_126 | spl50_41), 0.51/0.93 inference(avatar_split_clause,[],[f7336,f7052,f7515,f7153])). 0.51/0.93 fof(f7336,plain,( 0.51/0.93 sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_41), 0.51/0.93 inference(resolution,[],[f7125,f7053])). 0.51/0.93 fof(f7510,plain,( 0.51/0.93 ~spl50_47 | spl50_124), 0.51/0.93 inference(avatar_split_clause,[],[f7340,f7508,f7153])). 0.51/0.93 fof(f7340,plain,( 0.51/0.93 ( ! [X4] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(resolution,[],[f7125,f6248])). 0.51/0.93 fof(f7506,plain,( 0.51/0.93 spl50_122 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7348,f7150,f7504])). 0.51/0.93 fof(f7348,plain,( 0.51/0.93 ( ! [X2] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2)) )), 0.51/0.93 inference(superposition,[],[f7125,f6450])). 0.51/0.93 fof(f7502,plain,( 0.51/0.93 ~spl50_47 | spl50_120 | ~spl50_24 | spl50_55), 0.51/0.93 inference(avatar_split_clause,[],[f7495,f7171,f6975,f7500,f7153])). 0.51/0.93 fof(f7495,plain,( 0.51/0.93 sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_24 | ~spl50_55)), 0.51/0.93 inference(subsumption_resolution,[],[f7361,f7172])). 0.51/0.93 fof(f7361,plain,( 0.51/0.93 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f7125,f6976])). 0.51/0.93 fof(f7494,plain,( 0.51/0.93 ~spl50_47 | spl50_118), 0.51/0.93 inference(avatar_split_clause,[],[f7362,f7492,f7153])). 0.51/0.93 fof(f7362,plain,( 0.51/0.93 ( ! [X15] : (hBOOL(X15) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6451])). 0.51/0.93 fof(f7490,plain,( 0.51/0.93 ~spl50_47 | spl50_116), 0.51/0.93 inference(avatar_split_clause,[],[f7363,f7488,f7153])). 0.51/0.93 fof(f7363,plain,( 0.51/0.93 ( ! [X16] : (hBOOL(X16) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7125,f6531])). 0.51/0.93 fof(f7486,plain,( 0.51/0.93 ~spl50_47 | spl50_114 | ~spl50_42 | spl50_61), 0.51/0.93 inference(avatar_split_clause,[],[f7479,f7185,f7090,f7484,f7153])). 0.51/0.93 fof(f7479,plain,( 0.51/0.93 sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_42 | ~spl50_61)), 0.51/0.93 inference(subsumption_resolution,[],[f7365,f7186])). 0.51/0.93 fof(f7365,plain,( 0.51/0.93 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f7125,f7091])). 0.51/0.93 fof(f7478,plain,( 0.51/0.93 ~spl50_47 | spl50_112 | spl50_41), 0.51/0.93 inference(avatar_split_clause,[],[f7368,f7052,f7476,f7153])). 0.51/0.93 fof(f7368,plain,( 0.51/0.93 sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_41), 0.51/0.93 inference(resolution,[],[f7126,f7053])). 0.51/0.93 fof(f7471,plain,( 0.51/0.93 ~spl50_47 | spl50_110), 0.51/0.93 inference(avatar_split_clause,[],[f7372,f7469,f7153])). 0.51/0.93 fof(f7372,plain,( 0.51/0.93 ( ! [X4] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(resolution,[],[f7126,f6248])). 0.51/0.93 fof(f7467,plain,( 0.51/0.93 spl50_108 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7380,f7150,f7465])). 0.51/0.93 fof(f7465,plain,( 0.51/0.93 spl50_108 <=> ! [X2] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_108])])). 0.51/0.93 fof(f7380,plain,( 0.51/0.93 ( ! [X2] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X2)) | ~hBOOL(X2)) )), 0.51/0.93 inference(superposition,[],[f7126,f6450])). 0.51/0.93 fof(f7463,plain,( 0.51/0.93 spl50_62 | spl50_92 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7381,f7150,f7413,f7224])). 0.51/0.93 fof(f7413,plain,( 0.51/0.93 spl50_92 <=> sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_92])])). 0.51/0.93 fof(f7381,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) )), 0.51/0.93 inference(superposition,[],[f7126,f6449])). 0.51/0.93 fof(f7462,plain,( 0.51/0.93 spl50_62 | spl50_96 | spl50_46), 0.51/0.93 inference(avatar_split_clause,[],[f7387,f7150,f7428,f7224])). 0.51/0.93 fof(f7428,plain,( 0.51/0.93 spl50_96 <=> sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_96])])). 0.51/0.93 fof(f7387,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) )), 0.51/0.93 inference(superposition,[],[f7126,f6708])). 0.51/0.93 fof(f7461,plain,( 0.51/0.93 ~spl50_47 | spl50_106 | ~spl50_24 | spl50_55), 0.51/0.93 inference(avatar_split_clause,[],[f7454,f7171,f6975,f7459,f7153])). 0.51/0.93 fof(f7459,plain,( 0.51/0.93 spl50_106 <=> sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_106])])). 0.51/0.93 fof(f7454,plain,( 0.51/0.93 sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_24 | ~spl50_55)), 0.51/0.93 inference(subsumption_resolution,[],[f7393,f7172])). 0.51/0.93 fof(f7393,plain,( 0.51/0.93 hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Nat_OSuc) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f7126,f6976])). 0.51/0.93 fof(f7453,plain,( 0.51/0.93 ~spl50_47 | spl50_104), 0.51/0.93 inference(avatar_split_clause,[],[f7394,f7451,f7153])). 0.51/0.93 fof(f7451,plain,( 0.51/0.93 spl50_104 <=> ! [X15] : (hBOOL(X15) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_104])])). 0.51/0.93 fof(f7394,plain,( 0.51/0.93 ( ! [X15] : (hBOOL(X15) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X15)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7126,f6451])). 0.51/0.93 fof(f7449,plain,( 0.51/0.93 ~spl50_47 | spl50_102), 0.51/0.93 inference(avatar_split_clause,[],[f7395,f7447,f7153])). 0.51/0.93 fof(f7447,plain,( 0.51/0.93 spl50_102 <=> ! [X16] : (hBOOL(X16) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_102])])). 0.51/0.93 fof(f7395,plain,( 0.51/0.93 ( ! [X16] : (hBOOL(X16) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X16)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(superposition,[],[f7126,f6531])). 0.51/0.93 fof(f7445,plain,( 0.51/0.93 ~spl50_47 | spl50_100 | ~spl50_42 | spl50_61), 0.51/0.93 inference(avatar_split_clause,[],[f7438,f7185,f7090,f7443,f7153])). 0.51/0.93 fof(f7443,plain,( 0.51/0.93 spl50_100 <=> sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_100])])). 0.51/0.93 fof(f7438,plain,( 0.51/0.93 sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | (~spl50_42 | ~spl50_61)), 0.51/0.93 inference(subsumption_resolution,[],[f7397,f7186])). 0.51/0.93 fof(f7397,plain,( 0.51/0.93 hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f7126,f7091])). 0.51/0.93 fof(f7437,plain,( 0.51/0.93 spl50_98 | spl50_78), 0.51/0.93 inference(avatar_split_clause,[],[f7388,f7268,f7435])). 0.51/0.93 fof(f7435,plain,( 0.51/0.93 spl50_98 <=> sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_98])])). 0.51/0.93 fof(f7388,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~hBOOL(hAPP(c_Nat_OSuc,X10))) )), 0.51/0.93 inference(superposition,[],[f7126,f6632])). 0.51/0.93 fof(f7430,plain,( 0.51/0.93 spl50_62 | spl50_96 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7423,f7153,f7428,f7224])). 0.51/0.93 fof(f7423,plain,( 0.51/0.93 ( ! [X9] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f7387,f7154])). 0.51/0.93 fof(f7422,plain,( 0.51/0.93 spl50_94 | spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f7384,f7250,f7420])). 0.51/0.93 fof(f7420,plain,( 0.51/0.93 spl50_94 <=> sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_94])])). 0.51/0.93 fof(f7384,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(X6)) )), 0.51/0.93 inference(superposition,[],[f7126,f6634])). 0.51/0.93 fof(f7415,plain,( 0.51/0.93 spl50_62 | spl50_92 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7408,f7153,f7413,f7224])). 0.51/0.93 fof(f7408,plain,( 0.51/0.93 ( ! [X3] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f7381,f7154])). 0.51/0.93 fof(f7406,plain,( 0.51/0.93 spl50_62 | spl50_90), 0.51/0.93 inference(avatar_split_clause,[],[f7377,f7404,f7224])). 0.51/0.93 fof(f7404,plain,( 0.51/0.93 spl50_90 <=> ! [X13] : sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Obot__class_Obot(tc_fun(X13,tc_HOL_Obool)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_90])])). 0.51/0.93 fof(f7377,plain,( 0.51/0.93 ( ! [X14,X13] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Orderings_Obot__class_Obot(tc_fun(X13,tc_HOL_Obool))) | ~hBOOL(X14)) )), 0.51/0.93 inference(resolution,[],[f7126,f7079])). 0.51/0.93 fof(f7402,plain,( 0.51/0.93 spl50_62 | spl50_88), 0.51/0.93 inference(avatar_split_clause,[],[f7374,f7400,f7224])). 0.51/0.93 fof(f7374,plain,( 0.51/0.93 ( ! [X10,X8,X7,X9] : (sP48(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X7,tc_fun(X8,tc_HOL_Obool))),X9)) | ~hBOOL(X10)) )), 0.51/0.93 inference(resolution,[],[f7126,f6040])). 0.51/0.93 fof(f7367,plain,( 0.51/0.93 spl50_62 | spl50_64), 0.51/0.93 inference(avatar_split_clause,[],[f7342,f7227,f7224])). 0.51/0.93 fof(f7342,plain,( 0.51/0.93 ( ! [X10,X8,X7,X9] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X7,tc_fun(X8,tc_HOL_Obool))),X9)) | ~hBOOL(X10)) )), 0.51/0.93 inference(resolution,[],[f7125,f6040])). 0.51/0.93 fof(f7326,plain,( 0.51/0.93 ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7312])). 0.51/0.93 fof(f7312,plain,( 0.51/0.93 $false | ~spl50_62), 0.51/0.93 inference(subsumption_resolution,[],[f6479,f7225])). 0.51/0.93 fof(f7225,plain,( 0.51/0.93 ( ! [X16] : (~hBOOL(X16)) ) | ~spl50_62), 0.51/0.93 inference(avatar_component_clause,[],[f7224])). 0.51/0.93 fof(f6479,plain,( 0.51/0.93 ( ! [X0,X1] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_List_Oset(X1),X0)))) )), 0.51/0.93 inference(cnf_transformation,[],[f5521])). 0.51/0.93 fof(f5521,plain,( 0.51/0.93 ! [X0,X1] : hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_List_Oset(X1),X0)))), 0.51/0.93 inference(rectify,[],[f4144])). 0.51/0.93 fof(f4144,axiom,( 0.51/0.93 ! [X23,X2] : hBOOL(hAPP(c_Finite__Set_Ofinite(X2),hAPP(c_List_Oset(X2),X23)))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__set)). 0.51/0.93 fof(f7325,plain,( 0.51/0.93 ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7311])). 0.51/0.93 fof(f7311,plain,( 0.51/0.93 $false | ~spl50_62), 0.51/0.93 inference(subsumption_resolution,[],[f6460,f7225])). 0.51/0.93 fof(f6460,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))) )), 0.51/0.93 inference(cnf_transformation,[],[f5506])). 0.51/0.93 fof(f5506,plain,( 0.51/0.93 ! [X0] : hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))))), 0.51/0.93 inference(rectify,[],[f1879])). 0.51/0.93 fof(f1879,axiom,( 0.51/0.93 ! [X2] : hBOOL(hAPP(c_Finite__Set_Ofinite(X2),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite_Oequations_I1_J)). 0.51/0.93 fof(f7324,plain,( 0.51/0.93 ~spl50_2 | ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7302])). 0.51/0.93 fof(f7302,plain,( 0.51/0.93 $false | (~spl50_2 | ~spl50_62)), 0.51/0.93 inference(subsumption_resolution,[],[f6897,f7225])). 0.51/0.93 fof(f7323,plain,( 0.51/0.93 ~spl50_32 | ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7301])). 0.51/0.93 fof(f7301,plain,( 0.51/0.93 $false | (~spl50_32 | ~spl50_62)), 0.51/0.93 inference(subsumption_resolution,[],[f7005,f7225])). 0.51/0.93 fof(f7005,plain,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~spl50_32), 0.51/0.93 inference(avatar_component_clause,[],[f7004])). 0.51/0.93 fof(f7004,plain,( 0.51/0.93 spl50_32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_32])])). 0.51/0.93 fof(f7322,plain,( 0.51/0.93 ~spl50_30 | ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7300])). 0.51/0.93 fof(f7300,plain,( 0.51/0.93 $false | (~spl50_30 | ~spl50_62)), 0.51/0.93 inference(subsumption_resolution,[],[f6994,f7225])). 0.51/0.93 fof(f6994,plain,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~spl50_30), 0.51/0.93 inference(avatar_component_clause,[],[f6993])). 0.51/0.93 fof(f6993,plain,( 0.51/0.93 spl50_30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_30])])). 0.51/0.93 fof(f7321,plain,( 0.51/0.93 ~spl50_42 | ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7299])). 0.51/0.93 fof(f7299,plain,( 0.51/0.93 $false | (~spl50_42 | ~spl50_62)), 0.51/0.93 inference(subsumption_resolution,[],[f7102,f7225])). 0.51/0.93 fof(f7102,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X0)))) ) | ~spl50_42), 0.51/0.93 inference(backward_demodulation,[],[f7091,f6636])). 0.51/0.93 fof(f6636,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X0)))) )), 0.51/0.93 inference(cnf_transformation,[],[f5628])). 0.51/0.93 fof(f5628,plain,( 0.51/0.93 ! [X0] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X0)))), 0.51/0.93 inference(rectify,[],[f269])). 0.51/0.93 fof(f269,axiom,( 0.51/0.93 ! [X32] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X32)))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__Suc)). 0.51/0.93 fof(f7320,plain,( 0.51/0.93 ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7298])). 0.51/0.93 fof(f7298,plain,( 0.51/0.93 $false | ~spl50_62), 0.51/0.93 inference(subsumption_resolution,[],[f6637,f7225])). 0.51/0.93 fof(f6637,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,X0)))) )), 0.51/0.93 inference(cnf_transformation,[],[f5629])). 0.51/0.93 fof(f5629,plain,( 0.51/0.93 ! [X0] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,X0)))), 0.51/0.93 inference(rectify,[],[f735])). 0.51/0.93 fof(f735,axiom,( 0.51/0.93 ! [X32] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X32),hAPP(c_Nat_OSuc,X32)))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_lessI)). 0.51/0.93 fof(f7319,plain,( 0.51/0.93 ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7296])). 0.51/0.93 fof(f7296,plain,( 0.51/0.93 $false | ~spl50_62), 0.51/0.93 inference(subsumption_resolution,[],[f6769,f7225])). 0.51/0.93 fof(f6769,plain,( 0.51/0.93 ( ! [X2,X3,X1] : (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X2))) )), 0.51/0.93 inference(equality_resolution,[],[f6105])). 0.51/0.93 fof(f6105,plain,( 0.51/0.93 ( ! [X2,X0,X3,X1] : (X0 != X2 | hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0))) )), 0.51/0.93 inference(cnf_transformation,[],[f5289])). 0.51/0.93 fof(f5289,plain,( 0.51/0.93 ! [X0,X1,X2,X3] : (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0)) <=> (X0 = X2 | hBOOL(hAPP(X1,X0))))), 0.51/0.93 inference(rectify,[],[f3693])). 0.51/0.93 fof(f3693,axiom,( 0.51/0.93 ! [X17,X18,X22,X2] : (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X2),X22),X18),X17)) <=> (X17 = X22 | hBOOL(hAPP(X18,X17))))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__code)). 0.51/0.93 fof(f7318,plain,( 0.51/0.93 ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7295])). 0.51/0.93 fof(f7295,plain,( 0.51/0.93 $false | ~spl50_62), 0.51/0.93 inference(subsumption_resolution,[],[f6170,f7225])). 0.51/0.93 fof(f7317,plain,( 0.51/0.93 ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7294])). 0.51/0.93 fof(f7294,plain,( 0.51/0.93 $false | ~spl50_62), 0.51/0.93 inference(subsumption_resolution,[],[f6255,f7225])). 0.51/0.93 fof(f7316,plain,( 0.51/0.93 ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7293])). 0.51/0.93 fof(f7293,plain,( 0.51/0.93 $false | ~spl50_62), 0.51/0.93 inference(subsumption_resolution,[],[f6477,f7225])). 0.51/0.93 fof(f6477,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X0),X0))) )), 0.51/0.93 inference(cnf_transformation,[],[f5520])). 0.51/0.93 fof(f5520,plain,( 0.51/0.93 ! [X0] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X0),X0))), 0.51/0.93 inference(rectify,[],[f224])). 0.51/0.93 fof(f224,axiom,( 0.51/0.93 ! [X72] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),X72),X72))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zle__refl)). 0.51/0.93 fof(f7315,plain,( 0.51/0.93 ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7292])). 0.51/0.93 fof(f7292,plain,( 0.51/0.93 $false | ~spl50_62), 0.51/0.93 inference(subsumption_resolution,[],[f6171,f7225])). 0.51/0.93 fof(f7314,plain,( 0.51/0.93 ~spl50_62), 0.51/0.93 inference(avatar_contradiction_clause,[],[f7291])). 0.51/0.93 fof(f7291,plain,( 0.51/0.93 $false | ~spl50_62), 0.51/0.93 inference(subsumption_resolution,[],[f6072,f7225])). 0.51/0.93 fof(f6072,plain,( 0.51/0.93 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X0),X0))) )), 0.51/0.93 inference(cnf_transformation,[],[f5281])). 0.51/0.93 fof(f5281,plain,( 0.51/0.93 ! [X0] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X0),X0))), 0.51/0.93 inference(rectify,[],[f4831])). 0.51/0.93 fof(f4831,axiom,( 0.51/0.93 ! [X31] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),X31),X31))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evalc_OSkip)). 0.51/0.93 fof(f7290,plain,( 0.51/0.93 ~spl50_85 | spl50_86), 0.51/0.93 inference(avatar_split_clause,[],[f7222,f7288,f7285])). 0.51/0.93 fof(f7288,plain,( 0.51/0.93 spl50_86 <=> ! [X18] : (hBOOL(X18) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X18)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_86])])). 0.51/0.93 fof(f7222,plain,( 0.51/0.93 ( ! [X18] : (hBOOL(X18) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X18)) | ~hBOOL(c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )), 0.51/0.93 inference(superposition,[],[f7125,f6529])). 0.51/0.93 fof(f7280,plain,( 0.51/0.93 ~spl50_81 | spl50_82), 0.51/0.93 inference(avatar_split_clause,[],[f7214,f7278,f7275])). 0.51/0.93 fof(f7278,plain,( 0.51/0.93 spl50_82 <=> ! [X12] : (hBOOL(X12) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_82])])). 0.51/0.93 fof(f7214,plain,( 0.51/0.93 ( ! [X12] : (hBOOL(X12) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12)) | ~hBOOL(c_Groups_Oone__class_Oone(tc_Int_Oint))) )), 0.51/0.93 inference(superposition,[],[f7125,f6744])). 0.51/0.93 fof(f7270,plain,( 0.51/0.93 spl50_76 | spl50_78), 0.51/0.93 inference(avatar_split_clause,[],[f7212,f7268,f7265])). 0.51/0.93 fof(f7265,plain,( 0.51/0.93 spl50_76 <=> sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_76])])). 0.51/0.93 fof(f7212,plain,( 0.51/0.93 ( ! [X10] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X10)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)) | ~hBOOL(hAPP(c_Nat_OSuc,X10))) )), 0.51/0.93 inference(superposition,[],[f7125,f6632])). 0.51/0.93 fof(f7260,plain,( 0.51/0.93 spl50_62 | spl50_74 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7253,f7153,f7258,f7224])). 0.51/0.93 fof(f7258,plain,( 0.51/0.93 spl50_74 <=> sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_74])])). 0.51/0.93 fof(f7253,plain,( 0.51/0.93 ( ! [X9] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) ) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f7211,f7154])). 0.51/0.93 fof(f7211,plain,( 0.51/0.93 ( ! [X9] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X9)) )), 0.51/0.93 inference(superposition,[],[f7125,f6708])). 0.51/0.93 fof(f7252,plain,( 0.51/0.93 spl50_70 | spl50_72), 0.51/0.93 inference(avatar_split_clause,[],[f7208,f7250,f7247])). 0.51/0.93 fof(f7247,plain,( 0.51/0.93 spl50_70 <=> sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_70])])). 0.51/0.93 fof(f7208,plain,( 0.51/0.93 ( ! [X6] : (hBOOL(hAPP(c_Nat_OSuc,X6)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~hBOOL(X6)) )), 0.51/0.93 inference(superposition,[],[f7125,f6634])). 0.51/0.93 fof(f7242,plain,( 0.51/0.93 spl50_62 | spl50_68 | spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7235,f7153,f7240,f7224])). 0.51/0.93 fof(f7240,plain,( 0.51/0.93 spl50_68 <=> sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_68])])). 0.51/0.93 fof(f7235,plain,( 0.51/0.93 ( ! [X3] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) ) | ~spl50_47), 0.51/0.93 inference(subsumption_resolution,[],[f7205,f7154])). 0.51/0.93 fof(f7205,plain,( 0.51/0.93 ( ! [X3] : (hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(X3)) )), 0.51/0.93 inference(superposition,[],[f7125,f6449])). 0.51/0.93 fof(f7233,plain,( 0.51/0.93 spl50_62 | spl50_66), 0.51/0.93 inference(avatar_split_clause,[],[f7201,f7231,f7224])). 0.51/0.93 fof(f7231,plain,( 0.51/0.93 spl50_66 <=> ! [X19] : sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X19,tc_HOL_Obool)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_66])])). 0.51/0.93 fof(f7201,plain,( 0.51/0.93 ( ! [X19,X20] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Orderings_Obot__class_Obot(tc_fun(X19,tc_HOL_Obool))) | ~hBOOL(X20)) )), 0.51/0.93 inference(resolution,[],[f7125,f7079])). 0.51/0.93 fof(f7229,plain,( 0.51/0.93 spl50_62 | spl50_64), 0.51/0.93 inference(avatar_split_clause,[],[f7198,f7227,f7224])). 0.51/0.93 fof(f7198,plain,( 0.51/0.93 ( ! [X14,X15,X13,X16] : (sP48(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X13,tc_fun(X14,tc_HOL_Obool))),X15)) | ~hBOOL(X16)) )), 0.51/0.93 inference(resolution,[],[f7125,f6040])). 0.51/0.93 fof(f7187,plain,( 0.51/0.93 spl50_58 | ~spl50_61 | ~spl50_42), 0.51/0.93 inference(avatar_split_clause,[],[f7144,f7090,f7185,f7179])). 0.51/0.93 fof(f7144,plain,( 0.51/0.93 ( ! [X37] : (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | hBOOL(hAPP(X37,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X37)) ) | ~spl50_42), 0.51/0.93 inference(superposition,[],[f6878,f7091])). 0.51/0.93 fof(f7177,plain,( 0.51/0.93 spl50_56 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7143,f7153,f7175])). 0.51/0.93 fof(f7143,plain,( 0.51/0.93 ( ! [X35,X36] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X36,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X35),X36)) )), 0.51/0.93 inference(superposition,[],[f6878,f6707])). 0.51/0.93 fof(f7173,plain,( 0.51/0.93 spl50_52 | ~spl50_55 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f7140,f6975,f7171,f7165])). 0.51/0.93 fof(f7140,plain,( 0.51/0.93 ( ! [X30] : (~hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(X30,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | sP48(c_Nat_OSuc,X30)) ) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f6878,f6976])). 0.51/0.93 fof(f7163,plain,( 0.51/0.93 spl50_50 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7134,f7153,f7161])). 0.51/0.93 fof(f7134,plain,( 0.51/0.93 ( ! [X19,X18] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X19,X18)) | sP48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X19)) )), 0.51/0.93 inference(superposition,[],[f6878,f6708])). 0.51/0.93 fof(f7159,plain,( 0.51/0.93 spl50_48 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7128,f7153,f7157])). 0.51/0.93 fof(f7128,plain,( 0.51/0.93 ( ! [X6,X7] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X7,X6)) | sP48(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X7)) )), 0.51/0.93 inference(superposition,[],[f6878,f6449])). 0.51/0.93 fof(f7155,plain,( 0.51/0.93 spl50_44 | ~spl50_47), 0.51/0.93 inference(avatar_split_clause,[],[f7127,f7153,f7147])). 0.51/0.93 fof(f7127,plain,( 0.51/0.93 ( ! [X4,X5] : (~hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(X5,X4)) | sP48(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),X4),X5)) )), 0.51/0.93 inference(superposition,[],[f6878,f6450])). 0.51/0.93 fof(f7092,plain,( 0.51/0.93 spl50_42 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f7083,f6975,f7090])). 0.51/0.93 fof(f7083,plain,( 0.51/0.93 hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f6632,f6976])). 0.51/0.93 fof(f7054,plain,( 0.51/0.93 ~spl50_41 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f7047,f6975,f7052])). 0.51/0.93 fof(f7047,plain,( 0.51/0.93 ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f6638,f6976])). 0.51/0.93 fof(f6638,plain,( 0.51/0.93 ( ! [X0] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0))) )), 0.51/0.93 inference(cnf_transformation,[],[f5630])). 0.51/0.93 fof(f5630,plain,( 0.51/0.93 ! [X0] : ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0))), 0.51/0.93 inference(rectify,[],[f4454])). 0.51/0.93 fof(f4454,axiom,( 0.51/0.93 ! [X32] : ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X32)),X32))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__n__not__le__n)). 0.51/0.93 fof(f7045,plain,( 0.51/0.93 spl50_38 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f7038,f6975,f7043])). 0.51/0.93 fof(f7043,plain,( 0.51/0.93 spl50_38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_38])])). 0.51/0.93 fof(f7038,plain,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f6637,f6976])). 0.51/0.93 fof(f7028,plain,( 0.51/0.93 ~spl50_37 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f7019,f6975,f7025])). 0.51/0.93 fof(f7025,plain,( 0.51/0.93 spl50_37 <=> c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_37])])). 0.51/0.93 fof(f7019,plain,( 0.51/0.93 c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f6645,f6976])). 0.51/0.93 fof(f6645,plain,( 0.51/0.93 ( ! [X0] : (hAPP(c_Nat_OSuc,X0) != X0) )), 0.51/0.93 inference(cnf_transformation,[],[f5637])). 0.51/0.93 fof(f5637,plain,( 0.51/0.93 ! [X0] : hAPP(c_Nat_OSuc,X0) != X0), 0.51/0.93 inference(rectify,[],[f4781])). 0.51/0.93 fof(f4781,axiom,( 0.51/0.93 ! [X32] : hAPP(c_Nat_OSuc,X32) != X32), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_n__not__Suc__n)). 0.51/0.93 fof(f7027,plain,( 0.51/0.93 ~spl50_37 | ~spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f7018,f6975,f7025])). 0.51/0.93 fof(f7018,plain,( 0.51/0.93 c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) | ~spl50_24), 0.51/0.93 inference(superposition,[],[f6639,f6976])). 0.51/0.93 fof(f6639,plain,( 0.51/0.93 ( ! [X0] : (hAPP(c_Nat_OSuc,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 0.51/0.93 inference(cnf_transformation,[],[f5631])). 0.51/0.93 fof(f5631,plain,( 0.51/0.93 ! [X0] : hAPP(c_Nat_OSuc,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 inference(rectify,[],[f1112])). 0.51/0.93 fof(f1112,axiom,( 0.51/0.93 ! [X205] : hAPP(c_Nat_OSuc,X205) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat_Osimps_I3_J)). 0.51/0.93 fof(f7013,plain,( 0.51/0.93 ~spl50_35), 0.51/0.93 inference(avatar_split_clause,[],[f6748,f7011])). 0.51/0.93 fof(f7011,plain,( 0.51/0.93 spl50_35 <=> c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_35])])). 0.51/0.93 fof(f6748,plain,( 0.51/0.93 c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)), 0.51/0.93 inference(cnf_transformation,[],[f3204])). 0.51/0.93 fof(f3204,axiom,( 0.51/0.93 c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_int__0__neq__1)). 0.51/0.93 fof(f7006,plain,( 0.51/0.93 spl50_32), 0.51/0.93 inference(avatar_split_clause,[],[f6747,f7004])). 0.51/0.93 fof(f6747,plain,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.93 inference(cnf_transformation,[],[f2764])). 0.51/0.93 fof(f2764,axiom,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)). 0.51/0.93 fof(f6999,plain,( 0.51/0.93 spl50_30), 0.51/0.93 inference(avatar_split_clause,[],[f6746,f6993])). 0.51/0.93 fof(f6746,plain,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.93 inference(cnf_transformation,[],[f95])). 0.51/0.93 fof(f95,axiom,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_int__0__less__1)). 0.51/0.93 fof(f6998,plain,( 0.51/0.93 spl50_28 | ~spl50_31), 0.51/0.93 inference(avatar_split_clause,[],[f6864,f6996,f6990])). 0.51/0.93 fof(f6990,plain,( 0.51/0.93 spl50_28 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(tc_Int_Oint)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_28])])). 0.51/0.93 fof(f6996,plain,( 0.51/0.93 spl50_31 <=> ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_31])])). 0.51/0.93 fof(f6864,plain,( 0.51/0.93 ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(tc_Int_Oint)), 0.51/0.93 inference(equality_resolution,[],[f6863])). 0.51/0.93 fof(f6863,plain,( 0.51/0.93 ( ! [X0] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Groups_Oone__class_Oone(tc_Int_Oint) != X0 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )), 0.51/0.93 inference(equality_resolution,[],[f6728])). 0.51/0.93 fof(f6728,plain,( 0.51/0.93 ( ! [X0,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) | c_Groups_Oone__class_Oone(tc_Int_Oint) != X1 | c_Groups_Oone__class_Oone(tc_Int_Oint) != X0 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )), 0.51/0.93 inference(cnf_transformation,[],[f6014])). 0.51/0.93 fof(f6014,plain,( 0.51/0.93 ! [X0,X1] : ((hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) = c_Groups_Oone__class_Oone(tc_Int_Oint) <=> (c_Groups_Oone__class_Oone(tc_Int_Oint) = X0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = X1)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)))), 0.51/0.93 inference(ennf_transformation,[],[f5686])). 0.51/0.93 fof(f5686,plain,( 0.51/0.93 ! [X0,X1] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) => (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) = c_Groups_Oone__class_Oone(tc_Int_Oint) <=> (c_Groups_Oone__class_Oone(tc_Int_Oint) = X0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = X1)))), 0.51/0.93 inference(rectify,[],[f855])). 0.51/0.93 fof(f855,axiom,( 0.51/0.93 ! [X0,X68] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X68)) => (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X68),X0) = c_Groups_Oone__class_Oone(tc_Int_Oint) <=> (c_Groups_Oone__class_Oone(tc_Int_Oint) = X0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = X68)))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pos__zmult__eq__1__iff)). 0.51/0.93 fof(f6985,plain,( 0.51/0.93 spl50_26), 0.51/0.93 inference(avatar_split_clause,[],[f6862,f6982])). 0.51/0.93 fof(f6982,plain,( 0.51/0.93 spl50_26 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_26])])). 0.51/0.93 fof(f6862,plain,( 0.51/0.93 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)), 0.51/0.93 inference(equality_resolution,[],[f6861])). 0.51/0.93 fof(f6861,plain,( 0.51/0.93 ( ! [X0] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) != X0 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )), 0.51/0.93 inference(equality_resolution,[],[f6723])). 0.51/0.93 fof(f6723,plain,( 0.51/0.93 ( ! [X0,X1] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) != X1 | c_Groups_Oone__class_Oone(tc_Nat_Onat) != X0 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )), 0.51/0.93 inference(cnf_transformation,[],[f5684])). 0.51/0.93 fof(f5684,plain,( 0.51/0.93 ! [X0,X1] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat) <=> (c_Groups_Oone__class_Oone(tc_Nat_Onat) = X0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = X1))), 0.51/0.93 inference(rectify,[],[f1494])). 0.51/0.93 fof(f1494,axiom,( 0.51/0.93 ! [X0,X68] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X68),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat) <=> (c_Groups_Oone__class_Oone(tc_Nat_Onat) = X0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = X68))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__eq__1__iff)). 0.51/0.93 fof(f6984,plain,( 0.51/0.93 spl50_26), 0.51/0.93 inference(avatar_split_clause,[],[f6860,f6982])). 0.51/0.93 fof(f6860,plain,( 0.51/0.93 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)), 0.51/0.93 inference(equality_resolution,[],[f6859])). 0.51/0.93 fof(f6859,plain,( 0.51/0.93 ( ! [X1] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) | c_Groups_Oone__class_Oone(tc_Nat_Onat) != X1) )), 0.51/0.93 inference(equality_resolution,[],[f6714])). 0.51/0.93 fof(f6714,plain,( 0.51/0.93 ( ! [X0,X1] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat) | c_Groups_Oone__class_Oone(tc_Nat_Onat) != X0 | c_Groups_Oone__class_Oone(tc_Nat_Onat) != X1) )), 0.51/0.93 inference(cnf_transformation,[],[f5681])). 0.51/0.93 fof(f5681,plain,( 0.51/0.93 ! [X0,X1] : ((c_Groups_Oone__class_Oone(tc_Nat_Onat) = X1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = X0) <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat))), 0.51/0.93 inference(rectify,[],[f4944])). 0.51/0.93 fof(f4944,axiom,( 0.51/0.93 ! [X0,X68] : ((c_Groups_Oone__class_Oone(tc_Nat_Onat) = X68 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = X0) <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X68),X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__1__eq__mult__iff)). 0.51/0.93 fof(f6977,plain,( 0.51/0.93 spl50_24), 0.51/0.93 inference(avatar_split_clause,[],[f6647,f6975])). 0.51/0.93 fof(f6647,plain,( 0.51/0.93 hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)), 0.51/0.93 inference(cnf_transformation,[],[f4569])). 0.51/0.93 fof(f4569,axiom,( 0.51/0.93 hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_One__nat__def)). 0.51/0.93 fof(f6970,plain,( 0.51/0.93 spl50_22), 0.51/0.93 inference(avatar_split_clause,[],[f6847,f6968])). 0.51/0.93 fof(f6968,plain,( 0.51/0.93 spl50_22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_22])])). 0.51/0.93 fof(f6847,plain,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), 0.51/0.93 inference(equality_resolution,[],[f6624])). 0.51/0.93 fof(f6624,plain,( 0.51/0.93 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )), 0.51/0.93 inference(cnf_transformation,[],[f958])). 0.51/0.93 fof(f958,axiom,( 0.51/0.93 ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0)), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__Suc0)). 0.51/0.93 fof(f6963,plain,( 0.51/0.93 spl50_20), 0.51/0.93 inference(avatar_split_clause,[],[f6839,f6961])). 0.51/0.93 fof(f6961,plain,( 0.51/0.93 spl50_20 <=> hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_20])])). 0.51/0.93 fof(f6839,plain,( 0.51/0.93 hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 inference(equality_resolution,[],[f6838])). 0.51/0.93 fof(f6838,plain,( 0.51/0.93 ( ! [X1] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 | hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )), 0.51/0.93 inference(equality_resolution,[],[f6570])). 0.51/0.93 fof(f6570,plain,( 0.51/0.93 ( ! [X0,X1] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X0 | hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 | hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) )), 0.51/0.93 inference(cnf_transformation,[],[f5579])). 0.51/0.93 fof(f5579,plain,( 0.51/0.93 ! [X0,X1] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) <=> (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1 & hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0))), 0.51/0.93 inference(rectify,[],[f4211])). 0.51/0.93 fof(f4211,axiom,( 0.51/0.93 ! [X0,X68] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X68),X0) <=> (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X68 & hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__eq__1__iff)). 0.51/0.93 fof(f6956,plain,( 0.51/0.93 spl50_16), 0.51/0.93 inference(avatar_split_clause,[],[f6837,f6945])). 0.51/0.93 fof(f6945,plain,( 0.51/0.93 spl50_16 <=> hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_16])])). 0.51/0.93 fof(f6837,plain,( 0.51/0.93 hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), 0.51/0.93 inference(equality_resolution,[],[f6836])). 0.51/0.93 fof(f6836,plain,( 0.51/0.93 ( ! [X1] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 | hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )), 0.51/0.93 inference(equality_resolution,[],[f6562])). 0.51/0.93 fof(f6562,plain,( 0.51/0.93 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 | hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 | hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0)) )), 0.51/0.93 inference(cnf_transformation,[],[f5578])). 0.51/0.93 fof(f5578,plain,( 0.51/0.93 ! [X0,X1] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) <=> ((hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0) | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 & hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0)))), 0.51/0.93 inference(rectify,[],[f2469])). 0.51/0.93 fof(f2469,axiom,( 0.51/0.93 ! [X0,X68] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X68),X0) <=> ((hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X68 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0) | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X68 & hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0)))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__is__add)). 0.51/0.93 fof(f6955,plain,( 0.51/0.93 spl50_18), 0.51/0.93 inference(avatar_split_clause,[],[f6835,f6952])). 0.51/0.93 fof(f6952,plain,( 0.51/0.93 spl50_18 <=> hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_18])])). 0.51/0.93 fof(f6835,plain,( 0.51/0.93 hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 inference(equality_resolution,[],[f6834])). 0.51/0.93 fof(f6834,plain,( 0.51/0.93 ( ! [X1] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 | hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )), 0.51/0.93 inference(equality_resolution,[],[f6567])). 0.51/0.93 fof(f6567,plain,( 0.51/0.93 ( ! [X0,X1] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X0 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 | hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0)) )), 0.51/0.93 inference(cnf_transformation,[],[f5578])). 0.51/0.93 fof(f6954,plain,( 0.51/0.93 spl50_18), 0.51/0.93 inference(avatar_split_clause,[],[f6831,f6952])). 0.51/0.93 fof(f6831,plain,( 0.51/0.93 hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 inference(equality_resolution,[],[f6830])). 0.51/0.93 fof(f6830,plain,( 0.51/0.93 ( ! [X1] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1) )), 0.51/0.93 inference(equality_resolution,[],[f6543])). 0.51/0.93 fof(f6543,plain,( 0.51/0.93 ( ! [X0,X1] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) | hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X0 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1) )), 0.51/0.93 inference(cnf_transformation,[],[f5572])). 0.51/0.93 fof(f5572,plain,( 0.51/0.93 ! [X0,X1] : (((c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 & hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0) | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 & hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1)) <=> hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))), 0.51/0.93 inference(rectify,[],[f2643])). 0.51/0.93 fof(f2643,axiom,( 0.51/0.93 ! [X0,X68] : (((c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X68 & hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0) | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 & hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X68)) <=> hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X68),X0))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__is__1)). 0.51/0.93 fof(f6947,plain,( 0.51/0.93 spl50_16), 0.51/0.93 inference(avatar_split_clause,[],[f6829,f6945])). 0.51/0.93 fof(f6829,plain,( 0.51/0.93 hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), 0.51/0.93 inference(equality_resolution,[],[f6828])). 0.51/0.93 fof(f6828,plain,( 0.51/0.93 ( ! [X0] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0) )), 0.51/0.93 inference(equality_resolution,[],[f6548])). 0.51/0.93 fof(f6548,plain,( 0.51/0.93 ( ! [X0,X1] : (hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) | hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != X1 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0) )), 0.51/0.93 inference(cnf_transformation,[],[f5572])). 0.51/0.93 fof(f6940,plain,( 0.51/0.93 spl50_14), 0.51/0.93 inference(avatar_split_clause,[],[f6826,f6938])). 0.51/0.93 fof(f6938,plain,( 0.51/0.93 spl50_14 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_14])])). 0.51/0.93 fof(f6826,plain,( 0.51/0.93 hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 inference(equality_resolution,[],[f6825])). 0.51/0.93 fof(f6825,plain,( 0.51/0.93 ( ! [X1] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 0.51/0.93 inference(equality_resolution,[],[f6520])). 0.51/0.93 fof(f6520,plain,( 0.51/0.93 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 0.51/0.93 inference(cnf_transformation,[],[f5552])). 0.51/0.93 fof(f5552,plain,( 0.51/0.93 ! [X0,X1] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) <=> (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0))), 0.51/0.93 inference(rectify,[],[f1728])). 0.51/0.93 fof(f1728,axiom,( 0.51/0.93 ! [X0,X68] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X68),X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) <=> (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X68 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__is__0)). 0.51/0.93 fof(f6933,plain,( 0.51/0.93 spl50_12), 0.51/0.93 inference(avatar_split_clause,[],[f6478,f6931])). 0.51/0.93 fof(f6931,plain,( 0.51/0.93 spl50_12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_12])])). 0.51/0.93 fof(f6478,plain,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), 0.51/0.93 inference(cnf_transformation,[],[f4435])). 0.51/0.93 fof(f4435,axiom,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)). 0.51/0.93 fof(f6926,plain,( 0.51/0.93 spl50_10), 0.51/0.93 inference(avatar_split_clause,[],[f6261,f6924])). 0.51/0.93 fof(f6924,plain,( 0.51/0.93 spl50_10 <=> hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_10])])). 0.51/0.93 fof(f6261,plain,( 0.51/0.93 hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 inference(cnf_transformation,[],[f747])). 0.51/0.93 fof(f747,axiom,( 0.51/0.93 hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat_Osize_I3_J)). 0.51/0.93 fof(f6919,plain,( 0.51/0.93 spl50_8), 0.51/0.93 inference(avatar_split_clause,[],[f6801,f6917])). 0.51/0.93 fof(f6917,plain,( 0.51/0.93 spl50_8 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_8])])). 0.51/0.93 fof(f6801,plain,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 inference(equality_resolution,[],[f6253])). 0.51/0.93 fof(f6253,plain,( 0.51/0.93 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )), 0.51/0.93 inference(cnf_transformation,[],[f4304])). 0.51/0.93 fof(f4304,axiom,( 0.51/0.93 ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0)), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__0__eq)). 0.51/0.93 fof(f6912,plain,( 0.51/0.93 ~spl50_7), 0.51/0.93 inference(avatar_split_clause,[],[f6800,f6910])). 0.51/0.93 fof(f6910,plain,( 0.51/0.93 spl50_7 <=> ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_7])])). 0.51/0.93 fof(f6800,plain,( 0.51/0.93 ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), 0.51/0.93 inference(equality_resolution,[],[f6246])). 0.51/0.93 fof(f6246,plain,( 0.51/0.93 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))) )), 0.51/0.93 inference(cnf_transformation,[],[f1550])). 0.51/0.93 fof(f1550,axiom,( 0.51/0.93 ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0)), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_neq0__conv)). 0.51/0.93 fof(f6905,plain,( 0.51/0.93 spl50_4), 0.51/0.93 inference(avatar_split_clause,[],[f6056,f6903])). 0.51/0.93 fof(f6903,plain,( 0.51/0.93 spl50_4 <=> c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 introduced(avatar_definition,[new_symbols(naming,[spl50_4])])). 0.51/0.93 fof(f6056,plain,( 0.51/0.93 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 inference(cnf_transformation,[],[f200])). 0.51/0.93 fof(f200,axiom,( 0.51/0.93 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_bot__nat__def)). 0.51/0.93 fof(f6898,plain,( 0.51/0.93 spl50_2), 0.51/0.93 inference(avatar_split_clause,[],[f6023,f6896])). 0.51/0.93 fof(f6023,plain,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga))), 0.51/0.93 inference(cnf_transformation,[],[f1395])). 0.51/0.93 fof(f1395,axiom,( 0.51/0.93 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 0.51/0.93 fof(f6891,plain,( 0.51/0.93 ~spl50_1), 0.51/0.93 inference(avatar_split_clause,[],[f6022,f6889])). 0.51/0.93 fof(f6022,plain,( 0.51/0.93 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 0.51/0.93 inference(cnf_transformation,[],[f5244])). 0.51/0.93 fof(f5244,plain,( 0.51/0.93 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 0.51/0.93 inference(flattening,[],[f953])). 0.51/0.93 fof(f953,negated_conjecture,( 0.51/0.93 ~c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 0.51/0.93 inference(negated_conjecture,[],[f952])). 0.51/0.93 fof(f952,conjecture,( 0.51/0.93 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))), 0.51/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)). 0.51/0.93 % SZS output end Proof for theBenchmark 0.51/0.93 % ------------------------------ 0.51/0.93 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.51/0.93 % Termination reason: Refutation 0.51/0.93 0.51/0.93 % Memory used [KB]: 8443 0.51/0.93 % Time elapsed: 0.211 s 0.51/0.93 % ------------------------------ 0.51/0.93 % ------------------------------ 0.51/0.93 % Success in time 0.598 s 0.51/0.94 EOF